# NCERT Solutions for Class 9 Maths Chapter 4

NCERT Solutions for Class 9 Maths Chapter 4 Exercise 4.1, Exercise 4.2, Exercise 4.3 and Exercise 4.4 of Linear Equations in Two Variables are available to download in PDF for free. In this chapter there are four exercises. Students will study the four exercises. NCERT Books for class 9 are available to download.

## NCERT Solutions for Class 9 Maths Chapter 4 Exercises

Chapter 4 Exercise 4.1 – 2 Questions
Chapter 4 Exercise 4.2 – 4 Questions
Chapter 4 Exercise 4.3 – 8 Questions
Chapter 4 Exercise 4.4 – 2 Questions

NCERT Books of Maths IX

### Introduction – Chapter 4 Solutions Linear Equations in Two Variables

In earlier classes, you have studied linear equations in one variable. Can you write down a linear equation in one variable? You may say that x + 1 = 0, x + 2 = 0 and 2 y + 3 = 0 are examples of linear equations in one variable. You also know that
such equations have a unique (i.e., one and only one) solution. You may also remember how to represent the solution on a number line. In this chapter, the knowledge of linear equations in one variable shall be recalled and extended to that of two variables. You will be considering questions like: Does a linear equation in two variables have a solution? If yes, is it unique? What does the solution look like on the Cartesian plane? You shall also use the concepts you studied in Chapter 3 to answer these questions.

While solving an equation, you must always keep the following points in mind:
The solution of a linear equation is not affected when:
(i) the same number is added to (or subtracted from) both the sides of the equation.
(ii) you multiply or divide both the sides of the equation by the same non-zero
number.

Questions for Practice – EXERCISE 4.1

1. The cost of a notebook is twice the cost of a pen. Write a linear equation in two
variables to represent this statement.
(Take the cost of a notebook to be Rs x and that of a pen to be Rs y).

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