# How do solve the following linear system?: 5x - 3y = -29 , x - 3y = -6 ?

Dec 8, 2015

$\left(- 2 , \frac{1}{12}\right)$

#### Explanation:

$x - 3 y = - 6$
$x = 3 y - 6$

plug in $x$ for $5 x - 3 y = - 29$
$5 \left(3 y - 6\right) - 3 y = - 29$
$15 y - 30 - 3 y = - 29$
$12 y = 1$
$y = \frac{1}{12}$

plug in $y$ in $x = 3 y - 6$ to find $x$
$x = 3 \left(\frac{1}{12}\right) - 6$
$x = 4 - 6$
$x = - 2$

$\left(- 2 , \frac{1}{12}\right)$