Question

Which ordered pair (x, y) is the solution to the given system of linear equations?

3x+3y=-3
-2x+y=2

Answer 1

(-1,0)

y=2x+2 *new equation for second*
3x+3(2x+2)=-3 *plug y into first equation*
3x+(6x+6)=-3 *combine like terms*
9x+6=-3 *bring 6 to the other side by subtracting 6 on both sides*
9x = -9 *divide by 9 to get x by itself*
x = -1

to find y (now that we have x):
-2(-1) +y=2
2+y=2
y=0

Answer 2

Answer:(-1,0)

Explanation:

3x + 3y=-3. Solve by the elimination method.

-2x+y=2

2(3x + 3y)=-3(2) New equation 6x + 6y=-6

3(-2 + y)=2(3). New equation -6x +3y=6

9y= 0

y=0

6x +6(0)=-6

6x =-6

X=-1