Class 8 Maths Chapter 2 Linear Equations In One Variable exercise 2.2 pdf notes:-

**Exercise 2.2** Class 8 maths Chapter 2 Pdf Notes:-

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## Ncert Solution for Class 8 Maths Chapter 2 Linear Equations In One Variable Exercise 2.2 Tips:

**Some Applications**

We begin with a simple example.

Sum of two numbers is 74. One of the numbers is 10 more than the other. What are the

numbers?

We have a puzzle here. We do not know either of the two numbers, and we have to

find them. We are given two conditions.

(i) One of the numbers is 10 more than the other.

(ii) Their sum is 74.

We already know from Class VII how to proceed. If the smaller number is taken to

be x, the larger number is 10 more than x, i.e., x + 10. The other condition says that

the sum of these two numbers x and x + 10 is 74.

This means that x + (x + 10) = 74.

**WHAT HAVE WE DISCUSSED?**

- An algebraic equation is an equality involving variables. It says that the value of the expression on

one side of the equality sign is equal to the value of the expression on the other side. - The equations we study in Classes VI, VII and VIII are linear equations in one variable. In such

equations, the expressions which form the equation contain only one variable. Further, the equations

are linear, i.e., the highest power of the variable appearing in the equation is 1. - A linear equation may have for its solution any rational number.
- An equation may have linear expressions on both sides. Equations that we studied in Classes VI

and VII had just a number on one side of the equation. - Just as numbers, variables can, also, be transposed from one side of the equation to the other.
- Occasionally, the expressions forming equations have to be simplified before we can solve them

by usual methods. Some equations may not even be linear to begin with, but they can be brought

to a linear form by multiplying both sides of the equation by a suitable expression. - The utility of linear equations is in their diverse applications; different problems on numbers, ages,

perimeters, combination of currency notes, and so on can be solved using linear equations.