Question

I still don't get how to do this: Solve for t then simplify your answer. -6/5t=9

Answer 1

Answer:

t= -15/2       or       t= -7.5

Step-by-step explanation:

We are given the equation:

$\frac{-6}{5}t=9$

and asked to solve for t. Therefore, we must isolate t on one side of the equation.

t is being multiplied by -6/5. The inverse of multiplication is division. We should divided both sides by -6/5, but we are dividing by a fraction. Instead, we can multiply by the reciprocal.

To find the reciprocal, flip the numerator (top number)  and denominator (bottom number).

-6/5 ----> -5/6

Multiply both sides of the equation by -5/6

$\frac{-5}{6} *\frac{-6}{5}t=9 *\frac{-5}{6}$

$t=9 *\frac{-5}{6}$

$t=\frac{9}1 *\frac{-5}{6}$

Multiply across the numerator and denominator.

$t= \frac{9*-5}{1*6}$

$t=\frac{-45}{6}$

Simplify the fraction. Both the numerator and denominator can be divided by 3.

$t=\frac{-45/3}{6/3}$

$t=\frac{-15}{2}$

$t= -7.5$

t is equal to -15/2 or -7.5