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Dominik [7]
3 years ago
12

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

Mathematics
2 answers:
liberstina [14]3 years ago
6 0

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

stepladder [879]3 years ago
5 0

Answer:

t= \frac{-15}{2}

Step-by-step explanation:

Multiply both sides by 5/(-6).

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

ik the doesnt rlly make any sense but hope this helps

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