Question

Which of the following equation(s) is\are linear equation(s) in one variable?

• A. 2x + 3y = 10
• B. 4a + 3b = 6
• C. 2x = 3x + 4
• D. 2x + 4z = 5

Answer 1

Answer: (B), (C)

The correct options are
B

4a + 3b = 6

C

2x = 3x + 4

Equations which have only one variable or which can be reduced to equations having only one variable are known as linear equations in one variable.

Since 4a + 3b = 3b + 6 can be reduced to a linear equation in variable "a" by eliminating "3b" on both sides, this is a linear equation in one variable.

Also 2x = 3x + 4 is a linear equation in one variable as it has only one variable, x.

The other equations are linear but have two variables.