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Agata [3.3K]
3 years ago
11

What is the value of t?

Mathematics
1 answer:
solmaris [256]3 years ago
6 0

Answer:

A) t = -3

Step-by-step explanation:

We have the expression \frac{(t-12)}{2}=\frac{3t}{2}-3 and we have to find the value of t.

First we are going to reorder the expression:

\frac{(t-12)}{2}=\frac{3t}{2}-3\\\\3=\frac{3t}{2}-\frac{(t-12)}{2}\\\\3=\frac{3t-t-(-12)}{2}\\\\3=\frac{2t+12}{2}

Now we have to multiply each side by 2,

3=\frac{2t+12}{2}\\\\3.2=\frac{2t+12}{2}.2\\\\6=2t+12

Subtract (-12) in both sides,

6=2t+12\\6-12=2t+12-12\\-6=2t

Divide both sides in 2,

-6=2t\\\frac{-6}{2} =\frac{2t}{2} \\-3=t

The answer is option A) t = -3.

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