Question

Which of the following algebraic equations are linear and why?

• A. $\text{x- 1 <<mo space="4"></mo>4}$
• B. $\text{y > 5}$
• C. $\text{x - 9 = 12}$
• D. $\text{8 + y +2 = 5}$

Answer 1

Answer: (C), (D)

$\text{8 + y +2 = 5}$

Linear equations are those which have a

i) equality sign

ii) degree of equation $\text{= 1}$

Here,

A) $\text{x-1 <<mo space="4"></mo>4}$ does not have quality sign

so not a linear equation.

B) $\text{y > 5}$ does not have equality sign

so not a Linear equation

C) $\text{x - 9 = 12}$ having equality sign and degree $\text{1}$

so it is a linear equation.

D) $\text{8 + y + 2 = 5}$ having equality sign and degree $\text{1}$

so it is a linear equation.

Hence Linear equation are C,D