x-y=2 4x-6y=4

One way to solve this is by substitution:

First, solve the first equation for x by adding y to both sides:

   x - y  =  2

   --->  x  =  y + 2

Then, substitute this expression (y + 2) in for x in the second equation:

  4x - 6y  =  4

  4(y + 2) - 6y  =  4

  4y + 8 - 6y  =  4

  -2y + 8  =  4

  -2y  =  -4

  y  =  2

And if y = 2, x = y + 2 = 2 + 2 = 4    --->   (4, 2)