# How do you find the ordered pair that satisfies y = x + 5 and y = 2x - 7?

Jul 10, 2015

$\left(x , y\right) = \left(12 , 17\right)$

#### Explanation:

If $y = x + 5$ and $y = 2 x - 7$
then
$\textcolor{w h i t e}{\text{XXXX}}$$x + 5 = 2 x - 7$
(subtracting $\left(2 x + 5\right)$ from both sides
$\textcolor{w h i t e}{\text{XXXX}}$$- x = - 12$
$\textcolor{w h i t e}{\text{XXXX}}$$\rightarrow x = 12$
(substituting $\left(x = 12\right)$ back into $y = x + 5$ gives
$\textcolor{w h i t e}{\text{XXXX}}$$y = 17$