# How do you solve 6/(b+9)=4/(b+5)?

Sep 19, 2016

$b = 3$

#### Explanation:

In an equation which has only ONE fraction on each side, you may cross-multiply

$\frac{6}{b + 9} = \frac{4}{b + 5}$

$6 \left(b + 5\right) = 4 \left(b + 9\right)$

$6 b + 30 = 4 b + 36$

$6 b - 4 b = 36 - 30$

$2 b = 6$

$b = 3$