How do you solve -2x+y=8 and y=-3x-2?

Sep 8, 2015

The solution for the system of equation is
color(blue)(x=-2,y=4

Explanation:

$- 2 x + y = 8$......equation $1$
y=color(blue)(-3x-2.....equation $2$

Solving by substitution.
Substituting equation $2$ in $1$

$- 2 x + y = 8$

-2xcolor(blue)(-3x-2=8

$- 5 x - 2 = 8$

$- 5 x = 8 + 2$

$- 5 x = 10$
color(blue)(x=-2

Finding $y$ by substituting $x$ in equation $2$

$y = - 3 x - 2$

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

$y = 6 - 2$

color(blue)(y=4