How do you solve (p+10)/(p-7)=8/9?

Sep 7, 2016

$p = - 146$

Explanation:

If you have an equation with ONE fraction on each side, you can get rid of the fractions by cross-multiplying.

$\frac{p + 10}{p - 7} = \frac{8}{9}$

$9 \left(p + 10\right) = 8 \left(p - 7\right) \text{ " larr " No fractions!}$

$9 p + 90 = 8 p - 56$

$9 p - 8 p = - 56 - 90$

$p = - 146$