2(3x+9y = 33)
3(-10x-6y = -14)
Multiply all terms in the first by 2 and in the second equation by 3:
6x+18y = 66
-30x-18y = -42
Add both equations together in order to eliminate y:
-24x = 24
Divide both sides by -24 to find the value of x:
x = -1
Substitute the value of x into the original equations to find the value of y:
Therefore: x = -1 and y = 4