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

Give linear equation for y=3x-4

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

Equation 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 Equation and solve the linear equation for the corresponding value of Equation .

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

  1. Equation

  2. Equation

  3. Equation

Solution:

i) Equation

For Equation ,

Equation

Equation

Therefore, Equation is a solution of this equation.

For Equation ,

Equation

Equation

Therefore, Equation is a solution of this equation.

For Equation ,

Equation

Equation

Therefore, Equation is a solution of this equation.

For Equation ,

Equation

Equation

Therefore, Equation is a solution of this equation.

Four solutions of Equation is Equation , Equation

ii) Equation

For Equation

Equation

Equation

Therefore, Equation is a solution of this equation.

For Equation ,

Equation

Equation

Therefore, Equation is a solution of this equation.

For Equation ,

Equation

Equation

Therefore, Equation is a solution of this equation.

For Equation

Equation

Equation

Therefore, Equation is a solution of this equation.

Four solution of Equation Equation

iii) Equation

For Equation ,

Equation

Equation

Therefore, Equation is a solution of this equation.

For Equation

Equation

Therefore, Equation is a solution of this equation.

For Equation

Equation

Equation

Therefore, Equation is a solution of this equation.

For Equation

Equation

Equation

Therefore , Equation is a solution of this equation.

Four solution of Equation is Equation

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