How do you solve 3x + 3y = –6 and –x + y = 0?

1 Answer
Aug 4, 2015

The solution for the system of equations is:
color(blue)(x=-1,y=-1

Explanation:

3x+3y=–6 .....equation (1)

–x+y=0
x=color(blue)(y........equation (2)

Solving through substitution:

Substituting equation 2 in equation 1
3x+3y=–6

3 * color(blue)(y)+3y=–6

6y=–6

color(blue)(y=–1

From equation 2 we know that : x=y
So , color(blue)(x=-1