-6y+2=-4x................eq1
y-2=x............................eq2
Step1:Multiply eq2 by 6 .........(or Multiply eq2 by 4 to elliminate x)
6y-12=6x......................eq3
Step2:Add eq1 and eq3 (y gets elliminated)
-10=2x
2x=-10
x=-10/2
x=-5
Step3: Substitute the value of x in any equation (1,2 or3)
-6y+2=-4x
-6y+2=-4(-5)
-6y+2=20
-6y=20-2
-6y=18
y=18/(-6)
y=-3
(x,y)=(-5,-3)