# NCERT Class 9 Solutions: Linear Equation in Two Variable (Chapter 4) Exercise 4.2 – Part 1

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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