Question

CAN SOMEONE PLEASE HELP?

What is the value of t? t−12/2=3t/2−3 a. –3 b. –1 c. 1 3




The t-12 is over the 2 and the 3t is over the 2. They are fractions.

Answer 1

$\frac{t - 12}{2} = \frac{3t}{2} - 3 \\ \frac{t - 12}{2} = \frac{3t}{2} - \frac{3 \times 2}{1 \times 2} \\ \frac{t - 12}{2} = \frac{3t}{2} - \frac{6}{2} \\ \frac{t - 12}{2} = \frac{3t - 6}{2} \\ t - 12 = 3t - 6 \\ 3t - t = - 12 + 6 \\ 2t = - 6 \\ t = \frac{ - 6}{2} \\ t = - 3$
The answer is t = -3