2x - 3y = 7
6x + 9y = 11
multiply the top equation by 3
6x - 9y = 21
6x + 9y = 11
add them together
12x = 32
x = 32/12
x = 8/3
2x - 3y = 7
6x + 9y = 11
mutiply the top equation by -3
-6x + 9y = -21
6x + 9y = 11
add them together
18y = -10
y = -10/18
y = -5/9