# How do you solve the system of equations 7x - 2y = 15 and 3x + 2y = 11?

Jul 31, 2017

See below.

#### Explanation:

$10 x = 26$, so $x = \frac{13}{5}$

Plugging this in,

$\frac{13}{5} \left(3\right) + 2 y = 11$

$\frac{39}{5} + 2 y = \frac{55}{5}$

$2 y = \frac{16}{5}$

$y = \frac{8}{5}$

Thus, our finals solution is $\left(\frac{13}{5} , \frac{8}{5}\right)$