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

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Linear equation

Give linear equation for y=3x-4

Give Linear Equation like Y =Mx+C

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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