# How do you solve the following system: 2x+3y=22, 5x-2y=-26 ?

$\left(x , y\right) \in \left\{\left(- \frac{34}{19} , \frac{162}{19}\right)\right\}$
$4 x + 6 y = 44 \mathmr{and} 15 x - 6 y = - 78$
Sum: $19 x = 44 - 78 \implies x = - \frac{34}{19}$
$- 5 \cdot \frac{34}{19} + 26 = 2 y \implies y = - \frac{85}{19} + 13 = \frac{162}{19}$