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

3x+3y=-3

-2x+y=2

Answer: (-1,0)

Step-by-step 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

(-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