# How do you solve y=2x+4 and 2y-3x=11?

Mar 23, 2018

#### Answer:

$\left(x , y\right) = \left(3 , 10\right)$

#### Explanation:

$2 \left(2 x + 4\right) - 3 x = 11$ plug in $2 x + 4$ for $y$ in the second equation
$4 x + 8 - 3 x = 11$ distribute
$x = 3$ solve
$y = 2 \left(3\right) + 4$ plug in 3 for $x$
$y = 10$ solve
$\left(x , y\right) = \left(3 , 10\right)$