# How do solve the following linear system?:  y = 5x - 7, y = 4x + 4 ?

Mar 20, 2018

Notice that they both have $y$ by itself, so if you set them equal to each other you can solve for x. This makes sense if you consider that $y$ has the same value, and must be equal to itself.

#### Explanation:

$y = 5 x - 7 \mathmr{and} y = 4 x + 4$
$5 x - 7 = 4 x + 4$
Subtract $4 x$ from both sides
$x - 7 = 4$
$x = 11$
$5 \left(11\right) - 7 = 48 = 4 \left(11\right) + 4$