RS Aggarwal Class 8 Chapter 8 Solutions (Linear Equations)
RS Aggarwal Class 8 Maths Solutions for Chapter 8 ‘Linear Equations’ will illustrate how to solve linear equations in one variable correctly. Chapter 8 of Linear Equations by RS Aggarwal teaches you the difference between algebraic expressions and equations. In this chapter of RS Aggarwal Class 8 Maths Solutions, you will not only learn to identify which equations are linear, but you will also learn to reduce the equations into simpler forms. The chapter also covers the applications and solutions of linear equations.
There are 3 exercises in this chapter with almost 90 practice questions in total. This chapter is based on the CBSE syllabus for Class 8. Along with this, it also contains some advanced questions that will test your knowledge about the concepts of linear equations. With the help of our RS Aggarwal Solutions for Chapter 7, you can easily practice the questions and identify your weak areas in the chapter.
Linear Equation is an important concept that will be very useful in higher classes. Knowledge of linear equations will be applicable in subjects like physics, chemistry, economics and mathematics. This is why our subject matter experts have provided simplified solutions to this chapter so that you can have a solid foundation. Our RS Aggarwal Class 8 Maths Solutions for chapter 8 ‘linear equations’ are totally based on the latest CBSE exam pattern.
Important Topics for RS Aggarwal Class 8 Maths Solutions Chapter 8: Linear Equations
Difference Between an Algebraic Expression and a Linear Equation
- An algebraic expression is a combination of variables, constants and operators. For example, 7a2 + 2ab, 6x, 7xy, ⅔a – 8b + 2, all are algebraic expressions.
- A linear equation, on the other hand, involved the ‘equality sign (=)’. For example, 7a + 2ab = 10, 6x + 4y = 28, 7xy + 8x = 34, ⅔a – 8b = 2, all are linear equations.
- However, in a linear equation, the variables have no exponents equal to 1. If we plot the graph of a linear equation, it would be a straight line graph. Hence, the name ‘linear’ is given. So, 2x2 + 2b2 = 4 or 2x2 + 3b = 18 are not linear equations.
- If a linear equation involves only one variable then it is called a linear equation with one variable. For example, 2x – 7 = 3 is a linear equation with one variable while 2x + 3y = 12 is not.
- A linear equation always contains an algebraic expression. The algebraic expression present on the left of the equality sign is called the Left Hand Side or LHS of the linear equation and the expression on the right side of the equality sign is called the Right Hand Side or RHS of the linear equation.
- In a linear equation, LHS is always equal to RHS. However, this is possible only for certain values of the variables. These values for which the LHS of a linear equation equals to its RHS are called ‘solutions’ of the linear equation.
Finding Solutions of Linear Equations in One Variable
- At first, we balance the linear equation and hence we apply arithmetic operations to find out the values of the variable. For example, consider an equation 2x – 7 = 3. To balance the linear equation, we will add 7 to both sides of the equation.
2x – 7 + 7 = 3 + 7
2x = 10
x = 10/2
x = 5
So, x = 5 is the solution of the equation. This method is known as the ‘Balancing Method’ of finding the solution for a linear equation.
- There can be times when the variable is present on both sides of the equation. For example, x + 2 = 2x – 3. In such cases, we will bring all the terms with a variable on one side and the constants on the other side.
x – 2x = – 3 – 2
– x = – 5
x = 5
So, x = 5 is the solution to the equation. This method is known as the ‘Transposing Method’ of finding the solution for a linear equation.
Exercise Discussion for RS Aggarwal Class 8 Maths Solutions Chapter 8: Linear Equations
- Chapter 8 ‘Linear Equations’ of RS Aggarwal Class 8 Maths contains 3 exercises. Exercise 8A has 28 questions based on finding the solution for a linear equation. You can use both balancing or transposing methods here to solve the linear equations.
- Exercise 8B has 27 questions based on the applications of linear equations. For instance, you are given the ratio and sum of two numbers. You have to form a linear equation based on that information and hence solve it to find out the numbers.
- In some questions of exercise 8B, you are given the sum/difference of digits of a number and the difference/sum of the reverse of the number and the original number. Based on this information, you have to find out the number. Such questions are very important for increasing your aptitude.
- Exercise 8C has 18 questions where you have to reduce the given linear equations into simpler forms and hence find their solution. These questions are slightly difficult as reducing the equation involves a complete understanding of the concepts of this chapter. With practice, you can get used to solving problems like these.
Benefits of RS Aggarwal Class 8 Maths Solutions Chapter 8: Linear Equations by Instasolv
- RS Aggarwal Solutions for Class 8 Maths Chapter 8 ‘linear equations’ will help you find out your mistakes in solving the exercises of the chapter.
- You will be able to easily resolve your doubts and find clarity on the concepts.
- RS Aggarwal questions are based on the CBSE exam pattern and also incorporate high aptitude questions which will help you prepare completely for all kinds of exams.
- Our stepwise approach to solving problems of linear equations will make you understand all the methods of solving linear equations easily.