What is the p.o.i for these set of equations (the substitution method)

2x+y=6
3x+2y=6

i tried to solve this many times but i keep getting different answers. What does x= and what does y=?

well, I guess we could use 6 - 2x for y

3 x + 2 (6-2x) = 6

3 x -4 x + 12 = 6

x = 6

then y = 6 - 2(6) = -6