# How do you solve the following system?:  2x - y = 6 , x=17-4y

Apr 29, 2018

$x = \frac{41}{9}$
$y = \frac{28}{9}$

#### Explanation:

$2 x - y = 6$ --- (1)
$x = 17 - 4 y$ --- (2)

Sub (2) into (1)
$2 \left(17 - 4 y\right) - y = 6$
$34 - 8 y - y = 6$
$28 = 9 y$
$y = \frac{28}{9}$ --- (3)

Sub (3) into (1)

$2 x - \frac{28}{9} = 6$
$2 x = \frac{82}{9}$
$x = \frac{41}{9}$