Joel, this is the solution:
3x + 3y = -3
-2x + y = 2
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Step 1: Isolating x on the 1st equation:
3x + 3y = -3
3x = - 3 - 3y
Dividing by 3 at both sides:
3x/3 = -3/3 - 3y/3
x = -1 - y
Step 2: Substituting x on the 2nd equation and solving for y:
-2x + y = 2
-2(-1 - y) + y = 2
2 + 2y + y = 2
3y = 2 - 2
3y = 0
y = 0
Step 3: Substituting y on the 1st equation and solving for x:
3x + 3y = -3
3x + 3 * 0 = -3
3x + 0 = -3
Dividing by 3 at both sides:
3x/3 = -3/3
x = -1
Now, Joel, we can select the correct choice:
A. (-1, 0)