# How do you solve by substitution 6x + 2y = -2 and 4x + y = 1?

Mar 20, 2018

color(purple)(x = 2, y = -7

#### Explanation:

$6 x + 2 y = - 2$

$3 x + y = - 1 \text{ Eqn (1)}$ , dividing both sides by 2.

$y = - 3 x - 1$

$4 x + y = 1 \text{ Eqn (2)}$

Substituting value of y in "Eqn (2),

$4 x + \left(- 3 x - 1\right) = 1$

$4 x - 3 x - 1 = 1$

$x = 1 + 1 = 2$

Substituting value of x "in Eqn (1)

$\left(3 \cdot 2\right) + y = - 1$

$y = - 1 - 6 = - 7$