# How do you solve the following system using substitution?: 7x-y=10 x=y/3-2

May 26, 2018

$x = 4 , y = 18$

#### Explanation:

From the second equation we get:
$7 \left(\frac{y}{3} - 2\right) - y = 10$
$\frac{7}{3} y - y = 24$
$\frac{7}{3} y - \frac{3}{3} y = 24$
$\frac{4}{3} y = 24$
$y = 3 \cdot \frac{24}{4} = 18$
so
$x = \frac{18}{3} - 2 = 6 - 2 = 4$