-10x + 3y = 1 multiply through by -1 = 10x - 3y = -1 (1)
-8x + 3y = 5 (2)
Add (1) to (2)
2x = 4 divide both sides by 2
x = 2
Sub this into (1) to find y
10(2) - 3y = -1
20 - 3y = -1 subtract 20 from both sides
-3y = -21 divide both sides by -3
y = 7
So (x,y) = (2, 7)