Question

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

Answer 1

t= -15/2 or t= -7.5

Explanation:

We are given the equation:

`(-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

`(-5)/(6) *(-6)/(5)t=9 *(-5)/(6)`

`t=9 *(-5)/(6)`

`t=\frac{9}1 *(-5)/(6)`

Multiply across the numerator and denominator.

`t= (9*-5)/(1*6)`

`t=(-45)/(6)`

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

`t=(-45/3)/(6/3)`

`t=(-15)/(2)`

`t= -7.5`

t is equal to -15/2 or -7.5