System of equations, the addition method

3x-3y=6
3x+3y=0

Whats the answer?

add the two equations

6 x + 0 = 6
so x = 1

go back for y
3 + 3 y = 0
y = -1

check
3(1)-3(-1) = 3+3= 6 yes
3(1)+3(-1) = 3-3 = 0 yes