How do you solve 5/9p=-10?

Apr 25, 2017

See the solution process below:

Explanation:

Multiply each side of the equation by $\frac{\textcolor{red}{9}}{\textcolor{b l u e}{5}}$ to solve for $p$ while keeping the equation balanced:

$\frac{\textcolor{red}{9}}{\textcolor{b l u e}{5}} \cdot \frac{5}{9} p = \frac{\textcolor{red}{9}}{\textcolor{b l u e}{5}} \cdot - 10$

$\frac{\cancel{\textcolor{red}{9}}}{\cancel{\textcolor{b l u e}{5}}} \cdot \frac{\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{5}}}}{\textcolor{red}{\cancel{\textcolor{b l a c k}{9}}}} p = - \frac{90}{\textcolor{b l u e}{5}}$

$p = - 18$