Maths;{2X-2Y=4+{3X+4Y=6

are you solving the 2 equations

2x-2y = 4
3x+4y = 6 ???

double the 1st, then add it to the 2nd

4x-4y=8
3x+4y=6
7x = 14
x = 2

into the 1st:
4 - 2y = 4
-2y = 0
y = 0

x=2 , y = 0