This set of Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Linear Equations in Two Variables”.

1. Linear equations are of __________ form.

a) ax^{2}+bx+c = 0

b) ax+by+c = 0

c) x^{2}+y^{2} = a^{2}

d) x^{2}-y^{2} = a^{2}

View Answer

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

View Answer

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

View Answer

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

View Answer

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

**Sanfoundry Global Education & Learning Series – Mathematics – Class 9**.

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