# How do you solve X/50=100/2  and find any extraneous solutions?

Apr 14, 2017

See the entire solution process below:

#### Explanation:

Multiply each side of the equation by $\textcolor{red}{50}$ to solve for $X$ while keeping the equation balanced:

$\textcolor{red}{50} \cdot \frac{X}{50} = \textcolor{red}{50} \cdot \frac{100}{2}$

$\cancel{\textcolor{red}{50}} \cdot \frac{X}{\textcolor{red}{\cancel{\textcolor{b l a c k}{50}}}} = \frac{5000}{2}$

$X = 2500$

There are no extraneous solutions.