# How do you solve the following system?: -2x+12y=-20 , y=1/3x

Aug 23, 2016

$x = - 10$

$y = - \frac{10}{3}$

#### Explanation:

$- 2 x + 12 y = - 20$

or

$2 x - 12 y = 20$

or

$x - 6 y = 10$

$y = \frac{x}{3}$

or

$x = 3 y$

Plugging the value $x = 3 y$ in the equation $x - 6 y = 10$

We get

$3 y - 6 y = 10$

or

$- 3 y = 10$

or

$y = - \frac{10}{3}$--------------------------Ans $1$

Plugging the value
$y = - \frac{10}{3}$ in the equation $x = 3 y$ we get

$x = 3 \times \left(- \frac{10}{3}\right)$

or

$x = - 10$-----------------------------Ans $2$