# How do you solve for v in y=1/2xv?

Jul 12, 2018

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

#### Explanation:

$\text{multiply both sides by 2}$

$2 y = \cancel{2} \times \frac{1}{\cancel{2}} x v \Rightarrow x v = 2 y$

$\text{divide both sides by x}$

$\frac{\cancel{x} v}{\cancel{x}} = \frac{2 y}{x} \Rightarrow v = \frac{2 y}{x}$