# How do you solve the system of linear equations 6x + 2y = -2 and 4x + y = 1?

Apr 5, 2018

$x = 2$
$y = - 7$

#### Explanation:

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

From (2),
$y = 1 - 4 x$ --- (3)

Sub (3) into (1)

$6 x + 2 \left(1 - 4 x\right) = - 2$
$6 x + 2 - 8 x = - 2$
$4 = 2 x$
$x = 2$ --- (4)

Sub (4) into (3)
$y = 1 - 4 \left(2\right)$
$y = - 7$