Answer :

x = 5 - 3y
x = 2y - 10

5 - 3y = 2y - 10
  + 3y + 3y       
       5 = 5y - 10
  + 10        + 10
     15 = 5y
      5      5
       3 = y
x = 2y - 10
x = 2(3) - 10
x = 6 - 10
x = -4
(x, y) = (-4, 3)
y=3

x=-4

you have to use substitution. so instead of the equations having two variables, they will now have one. 

5-3y=2y-10    after solving for y, plug the answer in any of the equations and you will find x.