# How do you solve -x/9= 5/3?

Jan 22, 2016

$x = - 15$

#### Explanation:

Given equation is $- \frac{x}{9} = \frac{5}{3}$
Let's multiply the entire equation by $9$, so we get
$\frac{- x}{9} \cdot 9 = \frac{5}{3} \cdot 9 \setminus \implies \frac{- x}{\cancel{9}} _ 1 \cdot {\cancel{9}}^{1} = \frac{5}{\cancel{3}} _ 1 \cdot {\cancel{9}}^{3}$

So we end with $- x = 5 \cdot 3$
I'm sure you know what to do next.

Jan 22, 2016

$- \frac{x}{9} = \frac{5}{3}$

Multiply both sides by color(red)(-9

$\textcolor{red}{\left(- 9\right)} \left(- \frac{x}{9}\right) = \textcolor{red}{\left(- 9\right)} \left(\frac{5}{3}\right)$

$\implies x = \left(- 3\right) \left(5\right) = - 15$

$\implies x = - 15$