# How do you solve the following system?: 7x +4y = 13 , -7x - 2y = -2

Apr 30, 2018

By arranging the equations. Get $x = - \frac{9}{7}$ and $y = \frac{11}{2}$

#### Explanation:

$7 x + 4 y = 13$
$- 7 x - 2 y = - 2$

$7 x - 7 x + 4 y - 2 y = 13 - 2$

$2 y = 11$

$y = \frac{11}{2}$

Put this value in the first equation:

$7 x + \left(4 \times \frac{11}{2}\right) = 13$

$7 x + 22 = 13$

$7 x = 13 - 22$

$7 x = - 9$

$x = - \frac{9}{7}$