# Class 9 Maths MCQ – Linear Equations in Two Variables

This set of Class 9 Maths Chapter 4 Multiple Choice Questions & Answers (MCQs) focuses on “Linear Equations in Two Variables”. These MCQs are created based on the latest CBSE syllabus and the NCERT curriculum, offering valuable assistance for exam preparation.

1. Linear equations are of __________ form.
a) ax2+bx+c = 0
b) ax+by+c = 0
c) x2+y2 = a2
d) x2-y2 = a2

Explanation: Linear equations of two variables are generally denoted by ax+by+c = 0.
Generally, x and y are used as variables however, other letters can be used instead of x and y.

2. How many solutions does a linear equation have?
a) One
b) Two
c) Three
d) Four

Explanation: Let’s understand this by an example:
Suppose we want to find the solution for 9x-3 = 0
9x-3 = 0
9x = 3
Therefore x = 1/3
We can see that this linear equation has only one solution. i.e. x = 1/3
It means that there is only one number which satisfies the given equation.

3. Which of the following is the correct way to represent the equation 3x=9 in ax+by+c = 0 form?
a) 3x = -0y + 9
b) 3x + 0y = 9
c) 3x + 0y – 9 = 0
d) 3x + 0y = 9

Explanation: In ax + by + c = 0, a, b and c are numbers and a, b≠0 while x and y are variables.
Given equation is 3x=9.
If we want it to represent in the ax+by+c=0 form, we can write 3x + 0y – 9 = 0 where a = 3, b = 0 and c = -9.

4. Find the solution for the linear equation 2.5x=5?
a) x=-2
b) x=5
c) x=3
d) x=2

Explanation: 2.5x=5
We know that equations is not affected by dividing the same non-zero number both sides.
Hence, dividing the equation by 2.5 both sides.
Therefore x=5/2.5
Hence, x = 2

More MCQs on Class 9 Maths Chapter 4:

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