# How do you solve x - 5y = -14, 3x + y = 6?

Mar 7, 2016

$x = 1$
$y = 3$

#### Explanation:

$x - 5 y = - 14 \text{ "x=5y-14" (1)}$
$3 \left(5 y - 14\right) + y = 6$
$15 y - 42 + y = 6 \text{ } 16 y = 42 + 6$
$16 y = 48 \text{ "y=48/16" } y = 3$
$\text{use (1)}$
$x = 5 \cdot 3 - 14$
$x = 15 - 14$
$x = 1$