Question

Which of the following values of t will result in a true statement when substituted into the given equation?

1/2 t - 4 (2 + t) = 20

A. t = 8

B. t = -8

C. t = 11

D. t = -12

Answer 1

t = - 8

Explanation:

We are given a single variable linear equation of t.

We have to select from the options which value of t satisfies the equation.

So, to get the particular value we have to solve the equation.

The given equation is

`(1)/(2) t - 4(2 + t) = 20`

⇒ t - 8(2 + t) = 40 {Multiplying both sides by 2}

⇒ t - 16 - 8t = 40

⇒ - 7t = 56

⇒ t = - 8

Therefore, for t = - 8 , the equation becomes true. (Answer)