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

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Linear equation

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

has

1. A unique solution
2. Only two solution
3. 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

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