Solve the system using elimination.

3x + 3y = –9
3x – 3y = 21

(–5, 2)

(3, 3)

(3, –6)

(2, –5)

1 answer

To solve the system using elimination, subtract the second equation from the first equation to eliminate the variable x:

(3x + 3y) - (3x - 3y) = -9 - 21
3x + 3y - 3x + 3y = -30
6y = -30
y = -5

Substitute this value of y back into one of the original equations, let's use the first equation:

3x + 3(-5) = -9
3x - 15 = -9
3x = 6
x = 2

Therefore, the solution to the system of equations is (2, -5).