These NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Ex 4.4 Questions and Answers are prepared by our highly skilled subject experts.

## NCERT Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Exercise 4.4

Question 1.

Give the geometric representation of y = 3 as an equation.

(i) in one variable.

(ii) in two variables.

Solution:

(i) We have given that y = 3

It is treated as an equation in one variable y only.

It has a unique solution y = 3, which is a point on the graph.

(ii) We have given that y = 3

It can be also expressed as

0 . x + y = 3

It is treated as an equation in two variables x and y.

It has infinitely many solutions which are in the form of (r, 3) where r is any real number.

The solutions of this equation represented by a line, we use the following table to draw the graph

Question 2.

Give the geometric representations of 2x + 9 = 0 as an equation

(i) in one variable.

(ii) in two variables.

Solution:

(i) We have given that 2x + 9 = 0

or, x = \(\frac {-9}{2}\)

It is treated as an equation in one variable x only.

It has a unique solution x = \(\frac {-9}{2}\), which is a point on the graph.

(ii) We have given that 2x + 9 = 0

It can be also expressed as 2x + 0 . y + 9 = 0

It is treated as an equation in two variables x and y.

It has infinitely many solutions which are in the form of (r, 9) where r is any real number.

The solutions of this equation represented by a line.

To draw the graph we use the following table.