Question

What is the value of t?

t−12
2

=
3t
2

−3



A –3

B –1

C 1

D 3

Answer 1

A) t = -3

Explanation:

We have the expression
`((t-12))/(2)=(3t)/(2)-3` and we have to find the value of t.

First we are going to reorder the expression:

`((t-12))/(2)=(3t)/(2)-3\\\\3=(3t)/(2)-((t-12))/(2)\\\\3=(3t-t-(-12))/(2)\\\\3=(2t+12)/(2)`

Now we have to multiply each side by 2,

`3=(2t+12)/(2)\\\\3.2=(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\\(-6)/(2) =(2t)/(2) \\-3=t`

The answer is option A) t = -3.