# How do you find the ratio of x to y given 5x = 6y?

Jan 23, 2016

$5 x = 6 y$

Divide both sides by $\textcolor{red}{y}$.

$\implies \frac{5 x}{\textcolor{red}{y}} = \frac{6 \cancel{y}}{\cancel{\textcolor{red}{y}}}$

$\implies \frac{5 x}{y} = 6$

Divide both sides by $\textcolor{b l u e}{5}$.

$\implies \frac{\cancel{5} x}{\cancel{\textcolor{b l u e}{5}} y} = \frac{6}{\textcolor{b l u e}{5}}$

$\implies \frac{x}{y} = \frac{6}{5}$

$\implies x : y = 6 : 5$