# How do you solve the system 2x+7=-5y and 4y-16=x?

Jun 9, 2015

$x = - \frac{108}{13}$
$y = \frac{25}{13}$

#### Explanation:

I would substitute the second equation into the first for $x$:
$2 \left(4 y - 16\right) + 7 = - 5 y$
$8 y - 32 + 7 = - 5 y$
$13 y = 25$
$y = \frac{25}{13}$
Use this value back in the first equation:
$2 x + 7 = - 5 \left(\frac{25}{13}\right)$
$x = - \frac{108}{13}$