How do you solve y = -3x + 6 and 3x-y = 6?

1 Answer
Aug 4, 2015

The solution for the system of equations is
color(blue)(x=2,y=0

Explanation:

y=color(blue)(−3x+6.....equation (1)

3x−y=6.........equation (2)

Solving through substitution:
Substituting equation 1 in equation 2

3x−y=6

3x-color(blue)((−3x+6))=6

3x + 3x -6=6

6x =6+6

color(blue)(x=2

Substituting x in equation 1 to find y
y=−3x+6

y=−3*2+6

y=−6+6

color(blue)(y=0