# How do you solve the simultaneous equations 2x - 4y = -8  and 2x +3y =17?

Jul 23, 2015

$\left(x , y\right) \in \left\{\left(\frac{22}{7} , \frac{25}{7}\right)\right\}$

#### Explanation:

$x - 2 y = - 4$

$x = 2 y - 4$

$2 \left(2 y - 4\right) + 3 y = 17$

$4 y + 3 y = 17 + 8$

$y = \frac{25}{7}$

$x = 2 \cdot \frac{25}{7} - 4$