07 Nov 2022

simple equation example

When we shift one term of an equation from LHS to RHS or vice versa, the plus sign of the shifted term change into a minus sign, and a minus sign changes into a plus sign. Show step-by-step. 2 x + 3 = 9 2 x = 9 3 2 x = 6 x = 6 2 x = 3 3x 4 = 5. Solution: (a) Let the number be x. Write the following statements in the form of simple equations: The sum of two consecutive odd numbers is 54. Binomial Theorem; . Example, x-5=9 So we can write the statement as : Takinq away five from x qives 9 5p=20 So we can write the statement as : 5 times of a number p is equal to 20 Seema Singh 7/13/2020 (Mathematics) Class Simple Equation Formulas, such as. Methods to Solve Simple Equations We can solve a simple equation using three methods. FORMING LINEAR EQUATIONS TO SOLVE PROBLEMSSometimes we can use linear equations to represent real-life situations. So, x = 80 . Have a look at the following examples: EXAMPLE 1: The sum of the digits of a 2 digit number 13. Different values of the variable are guessed, normally starting from the smallest number 1, and whichever solution brings LHS=RHS is the correct value. Radical equation . In a weight balance instrument, the working principle of the equality symbol is the same as that of the balance scale. Here, the number that we want to find is an unknown quantity.$6$ and $10$ are known quantities that are related to the unknown quantity.Let us assume the number (unknown quantity) as $x$. Quadratic Equation:. The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution. However, this is not the only method through which a simple equation can be solved. For example, when a person takes a loan of Rs. Example 7.6. Practice Problems 1. Y = mx + c , m 0. Simple Interest (S.I.) Q.2: Explain the simple equations using examples.Ans: A linear equation that involves only one variable is known as a simple equation or a linear equation in one variable.For example, $x + 5 = 4,2x 6 = 8x + 2,$ etc., are simple equations. We now know how to solve a simple equation. A simple equation refers to a mathematical equation that expresses the relationship between two expressions on both sides of the equal to sign. iron + oxygen ---> rust. Rational equation examples. That means we want to manipulate the equation until the variable is alone on one side of the equals sign.. Therefore, a simple equation of class 7 maintains the same value on either side of the = sign. In this representation, the x refers to a variable. Solve for y. y - 9 = 25. Avariableis a quantity that may change with the context of aMathematicalproblem. Looking for someone to help you with algebra? [Given]. Amount due after five years=Principal + Simple Interest = $5000+$2500; Amount due after five years = $7500. Then we will find the unknown variable. You can also download our Vedantu app for enhanced access. French Translation of "simple equation" | The official Collins English-French Dictionary online. t = 8. r = 0.075. EXAMPLE 2: The distance between town A and town B is 123 km. Today I will discuss some examples of simple equations which have been proved to be a very important topic for various competitive exams. In a synthesis reaction, also known as a direct combination reaction, two chemicals (A and B) make a new substance (AB). What is the total distance he covered in kilometres? Suppose you have Rs.1000, out of which you can spend Rs.300 on video games. In linear equation, each term is either a constant or. This may seem high, but remember that in the context of a loan, interest is really just a fee for borrowing the money. Simple or linear Equations: Tricks and Examples. 6x 6x. c) Daily Practice Sheets will help to develop a regular schedule of studies. In addition, we discussed the application of simple equations in real life. In Example 4, you solve the equation given in Example 2, using the four preceding steps to find the solution to the equation. Everything under the sun focuses on a particular type of balance. Solve the following NCERT maths class 7 simple equations to improve and sharpen your understanding . It carries different meanings for mathematics and computer science. Equation where we Divide. 3 x - 2 = 7. Simple Probability; Unit Rates; Precalculus Help, Problems, and Solutions. A variable is that unknown factor of a simple equation whose value needs to be derived through solving the equation. Trial and error method2. Transpose the variable term x on the left side of the equation and other numerical terms on the right side of the equation by changing their sign. Leading AI Powered Learning Solution Provider, Fixing Students Behaviour With Data Analytics, Leveraging Intelligence To Deliver Results, Exciting AI Platform, Personalizing Education, Disruptor Award For Maximum Business Impact, Simple Equations: Variables, Properties, Examples, All About Simple Equations: Variables, Properties, Examples. I have already discussed a concept - Quadratic Equations of quantitative aptitude. 4. What is the Difference Between Variables and Constants in a Simple Equation? Find c, if \displaystyle 5c - 2 = 33 5c2 = 33. A map is a representation or a drawing of the earths surface or NCERT Solutions For Class 8 Social Science Geography Chapter 6: Chapter 6 of CBSE Class 8th NCERT Book is Human Resources. Solve the equation 3x + 1 = 16. We hope this detailed article on simple equations has helped you in your studies. The denominator of a fraction exceeds the numerator by 5. This lesson on equations should be very useful to students in middle and high school math. The problems of linear equations can be easily solved by using simple tricks. Take your Olympiad preparation to next-level by taking LIVE Classes. 1. Solve the equation m+10=3m. Assume that x stands for the number of books you can buy at Rs.70 per book. It is where simple equations class 7 standard will come to your rescue. 6x 6x to eliminate the denominators. Problems based on ages2. You will have to solve a number of problems involving proper, improper, and mixed fractions in this chapter. The other integer is= 81-x [Since sum of integers is 81; Given]Given that, x : (81-x) = 1:2Using cross multiplication we get; (adsbygoogle = window.adsbygoogle || []).push({}); Consider the following examples to see how we can reduce equations involving ratios into linear form. PEMDAS helps you remember how to solve the equation. B1 is the regression coefficient - how much we expect y to change as x increases. As you can see in this particular simple equation in mathematics, -20 becomes +20 on the other side. Tutoring. Example: Equation: x + 1 = 9 . Bring the variable terms on the left side of the equation and the other numerical terms on the right side of the equation. The methods are, Trial and error method Systematic method Transpose to the other side and convert the mixed fraction into an improper fraction. We start with a simple single-layer neural network (NN) but refrain from choosing the activation functions yet. An equation consists of variables and numerical constants.For example, x + 4 = 10 where x is a variable.The numbers 4 and 10 are constants, as they do not change. By now, you must have come across the equal to sign (=) more than you can count. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign. Some examples of simple synthesis reactions include: hydrogen + oxygen ---> water. A mathematical equation that represents the relationship between two expressions on either side of the equal sign (=) is a Simple Equation. Q.4: What is an Algebraic Expression?Ans: A combination of constants and variables connected by a sign of fundamental operations of addition, subtraction, multiplication, and division is called an algebraic expression.For example, $x\, + \,2y,\,a + 3b + c,2{x^2}\, + \,5,$ etc., are the algebraic expressions. Following are some examples of simple equations: Equation where we Add. Simple Equations Class 7 Extra Questions Very Short Answer Type. Example 4: Solve the following equation: 4 ( x 3) + 6 = 14 + 2 x. To find the value of x, divide both sides by 18. Q.4: Priyas father is three times as old as Priya. However, you should also know about solving simple equations with fractions. is the method of calculating the interest amount for a particular principal amount of money at some rate of interest. What is simple interest and compound interest? Transpose the variable term x to the left side and the numerical terms on the right side of the equation by changing their sign. A linear equation can include different variables. Answer sheets of meritorious students of class 12th 2012 M.P Board All Subjects. The unknown quantity can be considered as $x$or any other variable such as $a,\,b,\,c,\,d$ so on. The word equations for a few of these reactions have been provided, though most likely you'll be asked to provide only the standard chemical equations. Divide both sides by 4 to find the value of x. Q3) Three numbers are in the ratio 1:2:3. I will multiply both sides of the rational equation by. The systematic method works in the same manner of adding or removing the exact numbers from both LHS and RHS to derive the value of the variable. All 4 operations (add, subtract, multiple, divide) are paired with variables.Practic. Without a variable, a simple equation does not exist. The procedure to form an equation from a real-life problem using the given information (known and unknown quantities) is known as the formulation of the problem. The equality sign shows that the value of the expression to its left is equal to the value of the expression to its right. Sample Business Transactions. In the equation y+5, y is known as ____________. We find the values of LHS and RHS of the given equation for different values of the variable. Let us take some simple equations examples, $x 7 = 6$Then, adding $7$ on both sides, we have ${\rm{x}}\, 7 + 7 = 6 + 7$Therefore, $x = 13$, $x + 3 = 5$ Then, subtracting $3$on both sides, we have $x + 3 3 = 5 3$Therefore, $x = 2,$, $15x = 45$Then dividing by $15$ on both sides we have,$\frac{{15x}}{{15}} = \frac{{45}}{{15}}$, $3x\, + 2 = 5$ Subtracting $2$ from both the sides we have,$3x + 2 2 = 5 2 \Rightarrow 3x = 3$, Dividing by $3$ both sides we get, $\frac{{3x}}{3} = \frac{3}{3}$. Step-by-step math courses covering Pre-Algebra through Calculus 3. . When avariableis used in an algebraic expression, it is known that it is not a constant number, but it can represent many numbers. for two years, the person's interest for two years will be S.I. Use the four steps to solving a linear equation, as follows: For example, the equations 4 x 2 + x + 2 = 0 and 2 x 2 2 x 3 = 0 are quadratic equations. And the quotient obtained by dividing the larger number by the smaller one is 4. For example, 2x+3=8 is a linear equation having a single variable in it. Variable means an unknown factor in an equation that a simple equation aims to find out. (adsbygoogle = window.adsbygoogle || []).push({}); To eliminate the denominator terms, multiply both sides of the equation by the LCM of 6 and 8. We are not permitting internet traffic to Byjus website from countries within European Union at this time. It tells the students about the Constitution, the roles of the leaders in the making of the Constitution, NCERT Solutions for Class 6 Social Science Geography Chapter 4: In chapter 4 of Class 6 Social Science, we learn the use of maps for various purposes. Therefore, if you change one part of the equation, you must also change the other part. SOLUTION: Let the digit at units place be x and the number at tens place be y. If the sum of the largest and the smallest equals the second and 45. Number of years that they are a customer of the brand = 5 years. - Example, Formula, Solved Examples, and FAQs, Line Graphs - Definition, Solved Examples and Practice Problems, Cauchys Mean Value Theorem: Introduction, History and Solved Examples. Simple examples of the homogeneous 1D-Helmholtz equation are discussed and compared to naive kernels and activations. In this case, you can shift any number or variable from one side of the equation to the other. Divide every term by the same nonzero value. To solve a basic algebra equation, we only need to consider isolating the variable. This video walks students through the steps to solve a basic two-step algebra equation. It mostly consists of a variable, frequently accompanied by a numerical constant. where we have to fill in the circle with any possible number to make the sentence true.Suppose we replace the circle by the letter x.x + 3 = 8x + 3 = 8 is called an equation in one unknown x.A solution or root of an equation is a value of the unknown that will make the equation true. The value of an unknown quantity can be determined if a simple equation can be formed using the information related to the unknown quantity. Examples: 2 + 3 = 5 9 - 2 = 7 10 x 3 = 30 81/9 = 9. An equation can also have multiple variables, in which case it will be known as . Linear Equation:. Examples of the standard form of a quadratic equation (ax + bx + c = 0) include: 6x + 11x - 35 = 0 2x - 4x - 2 = 0 -4x - 7x +12 = 0 20x -15x - 10 = 0 x -x - 3 = 0 5x - 2x - 9 = 0 3x + 4x + 2 = 0 -x +6x + 18 = 0 Incomplete Quadratic Equation Examples Here are some things we can do: Add or Subtract the same value from both sides. Where: Y - Dependent variable. Step 1: We are going to find the three integers.Step 2: Let x be the smallest integer.Step 3: Middle integer = x + 1 Largest integer = x + 2Step 4: Sum of 3 integers = 111 x + (x + 1) + (x + 2) = 111 3x + 3 = 111Step 5: 3x = 111 33x = 108x=1083 x = 36Step 6: The three integers are 36, 37 and 38, Copyright 2020 3RDFLIX Visual Effects Pvt. 4 + 6 = 10 is certainly a good example of an equation. This example requires us to perform two inverse operations. \[\frac{1}{2}x=\frac{9}{30}=\frac{3}{30}\]. Alphabets like $x,\,y,\,z$ are the generic type of variables and are used most of the time, but at times we will choose a letter that reminds us of the quantity it represents, such as $v$ for velocity, $t$ for time, $s$ for speed, $d$ for distance, etc. In the following practice problems, students will solve equations as well as write equations representing real-world situations. How to Solve a Simple Equation with Fractions? Before understanding this, let us see an example, to visualize and interpret the meaning of simple equations. Example : Linear equation with one variable : 10x - 80 = 0 What is the Application of Simple Equations? Even when the balance shifts to one side while you are cycling, you are likely to fall. There are two additional methods that a student can use to find the value of the variable. + is an operator, the operator may be + or - Forexample, x = 5 is a solution of the above equation but x = 1 is not. x - 77 + 77 = 3 + 77. A simple equation is considered a linear equation in one variable. Because of this, we have to transport 15 to the right side by changing its sign i.e., -15. Only after adding, subtracting, multiplying or dividing the exact quantity into both sides of the weighing scale will it be perfectly balanced i.e., make the equations equal. Now, to find the value of x we need to divide both sides of the equation by 6 to maintain equality. We could use the equation to predict weight if we knew an individual's height. Let x be the number. Hence, the number is 6. However, there are certain letters and symbols that substitute for a fixed value in a simple equation (such as pi, which is always 3.142). Like everything else, an equation has to be balanced as well. To be able to understand this further, you will have to keep in mind the signs preceding a variable or a number. So, what is a variable? If the length of each equal side is 2cm more than the length of its base. Practical problems are based on the relations between some known and unknown quantities. We can solve a simple equation using three methods. Sharma vs S.K. A constant is a fixed number or the number that is provided in the simple equation whose value is known. Depending on the level of mathematics, linear equations can include simple problems or more. However, you can also use other letters from the English alphabet to write a variable. There are three methods to solve a simple equation: the trial-and-error method, the systematic method, and the transposition method. Thus, you can buy 10 books @Rs.70 and still be able to keep Rs.300 for your video games. A linear equation that involves only one variable is known as a simple equation or a linear equation in one variable. [ANS], Cross Multiplication: We can solve an equation using ratios of linear algebraic equation using the cross multiplication. Over 100,000 French translations of English words and phrases. 6 x. However, as math becomes more complicated, the equations have multiple steps. B0 is the intercept, the predicted value of y when the x is 0. The standard form of a linear equation in one variable is of the form Ax + B = 0. CBSE Previous Year Question Paper for Class 10, CBSE Previous Year Question Paper for Class 12. Clear out any fractions by Multiplying every term by the bottom parts. Find the numbers. In its most primary sense, transposition implies when you shift a variable or a number to the other side of =. Embiums Your Kryptonite weapon against super exams! Goyal, Mere Sapno ka Bharat CBSE Expression Series takes on India and Dreams, CBSE Academic Calendar 2021-22: Check Details Here. Proper, improper and mixed fractions can be present in a simple equation. The two sides of an equation are two pans, and the equality sign tells us that two pans are balanced. However, you can look out for other similar interesting topics on the website of Vedantu. Then by solving the linear equations, we can actually provide solutions to real-life problems. After reaching the market, you see that each book costs Rs.70. Therefore, \[\frac{1}{2}x=\frac{7}{6}-\frac{4}{5}\], \[\frac{1}{2}x=\frac({(7 \times 5)}-{(4 \times 6)}){30}\]. Here are more examples to further illustrate how the accounting equation works. And like puzzles, there are things we can (and cannot) do. It results in the removal of the denominators, leaving us with regular equations that we already know how to solve such as linear and quadratic. LCM of 3 and 4, and How to Find Least Common Multiple, What is Simple Interest? 9x = 27. on dividing 9 on both the sides we get. A combination of constants and variables connected by a sign of fundamental operations of addition, subtraction, multiplication, and division is called an algebraic expression.For example, $x\, + \,2y,\,a + 3b + c,2{x^2}\, + \,5,$ etc., are the algebraic expressions. Therefore, x = 9/3 = 3. 1. Q.5: Give three real-life examples of simple equations.Ans: We use simple equations,1. Give wings to your innovation by appearing in CREST Olympiads for Prep/KG to classes 1-10. What is variable in simple equations? Solve the following equation. Linear Equations. It mostly has one variable and equal to symbol. Question 1. We either add, subtract, multiply, or divide. A simple equation the form ax + b = c, where a, b and c are constants and a 0 is called a linear equation. Q8) The perimeter of an isosceles triangle is 91cm. The customer lifetime value of this customer would be: $1,000 (annual profit from the customer) X. What is Simple Equation? The average monthly temperatures for a small town in Oregon are given in Table 7.6. X1, X2, X3 - Independent (explanatory) variables. potassium and chlorine gas ---> chloride. What is Transposition in a Simple Equation? If you have any doubts or queries, you can ask us in the comment section below. Some of the frequently asked questions about Simple Equations are mentioned below: Q.1: How do you solve simple equations?Ans: When a simple equation is given, we will keep the variable terms on the left side of the equal sign and the constant terms on the right side using the systematic method or transposing method. Answer: The business will pay back a total of $16,000. The breadth of a rectangle is four times its length. That means it involves a polynomial of degree one and with one variable only. So, how many books should you buy so that you still have Rs.300 left for video games? For example, $3(x 1) = 2x 11$ Expanding the brackets in ${\rm{LHS}}$ , we have, $3x 3 = 2x 11$ Now, transposing $3$ from ${\rm{LHS}}$ to ${\rm{RHS}}$, we have, $3x = 2x 11 + 3$Transposing $2x$ from ${\rm{RHS}}$, we get, $3x\, 2x = 8$. Shyams fathers age is 5 years more than three times Shyams age. The balanced chemical equation indicates that two moles of diatomic hydrogen must react with one mole of diatomic oxygen to produce two moles of water. Plenty of students seek to complete their higher secondary or Class 12 education through it. Find the numbers.Ans: Given that the difference between two numbers is $7$ Let us say the smaller number is $x$ and the larger one is $x\, + 7$.Now, the six times of the smaller number is $6x$According to the given statement,$6x\, + (x + 7) = 77$$ \Rightarrow 6x\, + x + 7 = 77$(expanding the brackets in LHS)$ \Rightarrow 7x\, = 77 7$ (transposing $7$ from LHS to RHS)$ \Rightarrow 7x\, = 70$$ \Rightarrow \frac{{7x}}{7}\, = \frac{{70}}{7}$$ \Rightarrow x = 10$Therefore, the smaller number is $x = 10$ and the larger number is $x + 7 = 10 + 7 = 17$Students can take Simple Equations notes from the solved examples to revise the concept quickly. The basic accounting equation is: Assets = Liabilities + Capital. These equations have the general form a x 2 + b x + c = 0. y + 36 -36 = 50 - 36. For example, $3x + 2 = 23,x = 7,2x + 6 = 3x 4,$etc., are simple equations. This video explains the steps involved to solve equations in algebra. Form a simple equation and find the value of the numbers. In short, an equation is a condition on a variable such that the two expressions should have equal values. As you shift a number to the other section; its sign changes. Multiple linear regression analysis is essentially similar to the simple linear model, with the exception that multiple independent variables are used in the model. Problems based on profit and loss. It is mainly because the overall balance changes and causes collapse. Find the number. Now that you know about this concept, it is time to take a look at simple equation exercises. x - 77 = 3. on adding 77 on both the sides we get. SOLUTION: Let one of these integers be x. What is a rational equation simple definition? Q.5: The difference between the two numbers is $7$. Writing balanced chemical equations is essential for chemistry class.Here are examples of balanced equations you can review or use for homework. We could also describe this relationship with the equation for a line, Y = a + b(x), where 'a' is the Y-intercept and 'b' is the slope of the line. Number System Integers and Rational Numbers.. Answer: x = 8. We can relate the idea of balance to a linear equation that help us solve it. 9x/9 = 27/9 In a rational equation, you have at least one fraction or fractional term in the problem. If we remove or add equal weights to both the pans, then we can still see the pans are in balance. Let us illustrate how this can be done by using the equation 2x + 3 = 9. (b) One-fourth of a number is 2 more than 5. Systematic method3. Q5) The difference between two numbers is 23. A Literal Equation is an equation that contains all letters (or variables) or an Equation that has multiple variables. SIMPLE LINEAR EQUATIONS IN ONE UNKNOWNIn our previous classes, we have learnt some number games like. In case you want to be notified about school in your locality then please register here. Find the lengths of the sides of the triangle. In this article, you will find the simple equation definition and study the different methods to solve them. Each term involved in the linear equation is either a constant or single variable or a product of a constant. Hence x = 3 is a solution of the equation 2x + 3 = 9.In general, an equation remains unchanged when both sides are added, subtracted, multiplied or divided by the same number. Also, in the equation 12n = 24, 12 is the coefficient. . Problems based on finding unknown numbers3. The quantity of this variable will change if the equation changes even by a fraction of a number. Simple equations, usually, are of three types: The unknown quantity or variable with any coefficient is equal to a known quantity (i.e., constant). See examples Summary of quadratic equations Recall that quadratic equations are equations in which the variables have a maximum power of 2. Therefore, a simple equation is a mathematical representation of two expressions on either side of an equal to sign. The most basic and simple algebraic equations consist of one or more variables . The root of this type of equation is obtained by dividing the known quantity by the coefficient of the unknown quantity and is . Transposition Method. WORD PROBLEMS ON SIMPLE EQUATIONS. Solving equations which have linear equations on one side and numbers on the other side. 18 is taken away from 8 times of a number is 30. Variables play different roles in different mathematical formulas. Given solution, $x = 5$ Add $3$ on both sides,$ \Rightarrow x + 3 = 5 + 3$Multiply $4$ on both sides,$ \Rightarrow 4(x + 3) = 4 \times 8$$ \Rightarrow 4x + 12 = 48$Similarly, more equations can be formed. If he cycles at a speed of 7km/hr, he reaches 8 minutes early. And the ratio of these integers is 1:2. This category of an equation consists of a variable, usually in the form of x or y. Proper fractions carry numerators that are smaller than their denominators. In this article, we have learned about simple equations and the methods for solving them, such as trial and error, systematic, and transposing methods. 2.Polynomial Equation:. This article will help you to do just that. Examples of simple equation in a Sentence Recent Examples on the Web Rather than attempting to simulate as much physics and detail as possible in a model, the team used a simple equation to calculate what portion of the ice is vulnerable in the current climate. A rational equation is an equation containing at least one fraction whose numerator and denominator are polynomials, These fractions may be on one or both sides of the equation. They cannot be those values that make a denominator of the original equation zero.Example: Solve the equation 6x2=3, Multiplying both sides by x 2, we have: (x2)6x2=(x2)(3), Notice that the denominator (x 2)6 = 3x 6 does not appear in this equation3x = 12. $2,000 (acquisition cost) = $3,000 = CLV. Equation where we Subtract. For example, \ (3x + 2 = 23,x = 7,2x + 6 = 3x - 4,\)etc., are simple equations. So we can write an equation using variables and algebraic expressions with an equality sign. \[\frac{1}{2}x=\frac{((7 \times 5)-(4 \times 6))}{30}\] , since the LCM of 5 and 6 is 30. Therefore, subtract 8 from both sides. It is also called quadratic equations. If 3 be added to both, the fraction becomes 3/4. That is the essence of solving rational equations. P = 10 000. Find a sinusoidal function of the form y = A sin ( B t C) + D that fits the data (round to the nearest tenth) and sketch the graph. If you think about it, an equation is like a weighing scale in which LHS needs to be exactly equal to RHS in order to have a proper balance of the scale. When we first learn math, equations only have one operation. Example. P = 2 L 2 W. P = 2L \cdot 2W P = 2L 2W, are common examples of Literal Equations. on the borrowed money. 3. So, where can you put simple equations in this context? 4: Modeling an Equation and Sketching a Sinusoidal Graph to Fit Criteria. Divide by the coefficient using the multiplication property of equations. Where m is the slope. Q7) Suraj is now half as old as his father. A variable is often denoted by generic alphabets such as x, y, z. Answer: An equation refers to a mathematical sentence that consists of two equal sides whose separation takes place by an equal sign. The general form of the quadratic equation is: ax + bx + c = 0. Simple Interest = Principal * Interest Rate * Time Period; Simple Interest =$5000 * 10%*5 =$2500; Total Simple Interest for 5 years= $2500. Exponential equation examples. Assess your performance by taking topic-wise and full length mock tests. The value of the variable for which ${\rm{LHS = RHS}}$ is the solution of the equation.Let us take an example $x + 7\, = \,10$We have ${\rm{LHS}}\, = x + 7\, = \,10$ and ${\rm{RHS}} = 10.$, Therefore, ${\rm{LHS}}\,{\rm{ = }}\,{\rm{RHS}}$ for ${\rm{x}}\,{\rm{ = }}\,{\rm{3}}$. An equation can be compared with a weighting balance. In cross multiplication, we multiply the numerator of LHS by the denominator of RHS and the denominator of LHS by the numerator of RHS and the resultant expression are equal to each other.

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