# How do you solve \frac { n + 2} { n + 8} = \frac { 9} { 8}?

Jul 30, 2017

Use cross-multiplication. $n = - 56$.

#### Explanation:

Cross-multiply:

$\left(n + 2\right) \left(8\right) = \left(9\right) \left(n + 8\right)$

$8 n + 16 = 9 n + 72$

$16 - 72 = 9 n - 8 n$

$- 56 = n$