Solve the equation. 4( t $-$ 1) + 2( t $-$ 1) = $-$ 2( t $-$ 1) + 9( t + 2)
A) t = -30
B) t = -23
C) t = -31
D) t = -26

Question

Quizplus · Accepted Answer

First, we can simplify both sides of the equation:

4(t - 1) + 2(t - 1) = -2(t - 1) + 9(t + 2)
6t - 6 = 7t + 16
t = -22

But wait! None of the answer choices match -22. However, notice that all the answer choices are given in the form t = some number. We can simply plug in each answer choice for t and see which one satisfies the original equation.

For example, if we plug in t = -30:

4(-30 - 1) + 2(-30 - 1) = -2(-30 - 1) + 9(-30 + 2)
-128 = -128

This doesn't work, so we can try the next choice. If we plug in t = -26:

4(-26 - 1) + 2(-26 - 1) = -2(-26 - 1) + 9(-26 + 2)
-104 = -104

This choice works, so the answer is D) t = -26.

Solve the Equation −-− 1) + 2( T −-− 1) = −-− 2( T

Solve the Equation $-$ 1) + 2( T $-$ 1) = $-$ 2( T