solve the system of equations by elimination

3x + 3y = 9
-6 + 2y = -10

1 answer

First, let's simplify the second equation:

-6 + 2y = -10
Add 6 to both sides:
2y = -4
Divide by 2:
y = -2

Now we can substitute y = -2 into the first equation and solve for x:

3x + 3*(-2) = 9
3x - 6 = 9
Add 6 to both sides:
3x = 15
Divide by 3:
x = 5

So the solution to the system of equations is x = 5, y = -2.