Answer :

      2x + 5y =2
 (+) 3x - 5y =53
-------------------------
      5x + 0 = 55

Then finish it.

5x = 55
x = 11

Substitute x = 11, 

2(11) + 5y = 2
22 - 2 + 5y = 0
20 + 5y = 0
5y = -20
y= -4

2x+5y=2
3x-5y=53
---------------
+
2x+3x=2+53
5x=55 / : 5
x=11

x=11
3x-5y=53

x=11
3*11-5y=53

x=11
33-5y=53

x=11
-5y=53-33

x=11
-5y=20 / : (-5)

x=11
y=-4