(1) 6x + 2y = -3
(2) 4x - 3y = 11
Multiply by 3 so that the coefficients of y are the same
3 x (1) 18x + 6y = -9
3 x (2) 8x - 6y = 22
Add these 2 together to eliminate y
26x = 13
Divide by 26 to get x
x = 1/2
Substitute x = 1/2 into equation (1)
6(1/2) + 2y = -3
3 + 2y = -3
2y = -6
y = -3