# How do you solve and check your solution given -8.4=-6f?

May 5, 2017

I got $f = 1.4$

#### Explanation:

I would multiply both sides by $10$ to get:

$10 \cdot \left(- 8.4\right) = 10 \cdot \left(- 6 f\right)$

$- 84 = - 60 f$

rearrange:

$f = \frac{- 84}{- 60} = \frac{84}{60}$

divide:

So that $f = 1.4$

To check your solution let us substitute this value of $f$ into the original:

$- 8.4 = - 6 \cdot \textcolor{red}{1.4}$

$- 8.4 = - 8.4$ ok