# How do you solve equations with rational expressions 1/x+2/x=10?

Jun 15, 2018

$x = \frac{3}{10}$

#### Explanation:

$\frac{1}{x} + \frac{2}{x} = 10$

First, let's get rid of the fractions by multiplying everything by $\textcolor{b l u e}{x}$:
$x \left(\frac{1}{x} + \frac{2}{x} = 10\right)$

$1 + 2 = 10 x$

Simplify the left hand side:
$3 = 10 x$

Now to solve for $x$, divide both sides by $\textcolor{b l u e}{10}$:
$\frac{3}{\textcolor{b l u e}{10}} = \frac{10 x}{\textcolor{b l u e}{10}}$

Therefore,
$\frac{3}{10} = x$

$x = \frac{3}{10}$

Hope this helps!