# NCERT Class 9 Solutions: Linear Equation in Two Variable (Chapter 4) Exercise 4.2 – Part 1 (For CBSE, ICSE, IAS, NET, NRA 2022)

Doorsteptutor material for IMO Class-9 is prepared by world's top subject experts: fully solved questions with step-by-step explanation- practice your way to success.

Linear equation

Q-1 Which one of the following option is true, and why?

has

- A unique solution
- Only two solution
- Infinitely many solutions

Solution:

- Infinitely many solutions
- Because a linear equation in two variables has infinitely many solutions. We keep changing the value of and solve the linear equation for the corresponding value of .

Q-2 Write four solutions for each of the following equations:

Solution:

i)

For ,

Therefore, is a solution of this equation.

For ,

Therefore, is a solution of this equation.

For ,

Therefore, is a solution of this equation.

For ,

➾

Therefore, is a solution of this equation.

Four solutions of is ,

ii)

For

Therefore, is a solution of this equation.

For ,

➾

Therefore, is a solution of this equation.

For ,

Therefore, is a solution of this equation.

For

Therefore, is a solution of this equation.

Four solution of

iii)

For ,

Therefore, is a solution of this equation.

For

Therefore, is a solution of this equation.

For

Therefore, is a solution of this equation.

For

Therefore , is a solution of this equation.

Four solution of is