# If y=2x-3 what is x when y=5?

Aug 26, 2016

$\textcolor{g r e e n}{x = 4}$

#### Explanation:

If $\textcolor{red}{y} = 2 \textcolor{b l u e}{x} - 3$
then when $\textcolor{red}{y} = \textcolor{red}{5}$
$\textcolor{w h i t e}{\text{XX}} \textcolor{red}{5} = 2 \textcolor{b l u e}{x} - 3$

Adding $3$ to both sides
$\textcolor{w h i t e}{\text{XX}} 8 = 2 \textcolor{b l u e}{x}$

Then dividing both sides by $2$
$\textcolor{w h i t e}{\text{XX}} 4 = \textcolor{b l u e}{x}$
or (equivalently)
$\textcolor{w h i t e}{\text{XX}} \textcolor{b l u e}{x} = 4$