# How do you solve 5/(r - 9) = 8/(r + 5)?

Jan 4, 2016

$r = \frac{97}{3}$

#### Explanation:

You can either multiply both sides by $\left(r - 9\right) \left(r + 5\right)$ or simply cross-multiply to arrive at the next step:

$5 \left(r + 5\right) = 8 \left(r - 9\right)$

From here, distribute and solve.

$5 r + 25 = 8 r - 72$

$97 = 3 r$

$r = \frac{97}{3}$