x-3y=0
3y-6=2x
next
x-3y=0
3y-2x=6
then you get
x-3y=0
-2x+3y=6
and next
x-3y=0
(-2+2*1)x+(3+2*-3)y=6
next
x-3y=0
-3y=6
then
x-3y=0
y=-2
and
x+6=0
y=-2
and you get your final answer (-6,-2)
Answer: (-6,-2)
hope this helps I suck at explaining how to do things sorry, just look at the steps and that should help.