# How do you find the ratio of x to y if 2x=3y?

Jan 4, 2017

Solve for $\frac{x}{y}$. See below for full explanation.

#### Explanation:

To find the ratio we need to solve this equation for $\frac{x}{y}$: To do this we must divide each side of the equation by $\textcolor{red}{2} \textcolor{b l u e}{y}$ which will give us $\frac{x}{y}$ while keeping the equation balance.

$\frac{2 x}{\textcolor{red}{2} \textcolor{b l u e}{y}} = \frac{3 y}{\textcolor{red}{2} \textcolor{b l u e}{y}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}} x}{\cancel{\textcolor{red}{2}} \textcolor{b l u e}{y}} = \frac{3 \textcolor{b l u e}{\cancel{\textcolor{b a l c k}{y}}}}{\textcolor{red}{2} \cancel{\textcolor{b l u e}{y}}}$

$\frac{x}{y} = \frac{3}{2}$