5x + 8y = 2 → 10x + 16y = 4 (1)
-2x + 3y = -7 → -10 + 15y = -35 (2)
Add (1) and (2) this gives us
31y = -31 divide by 31 on both sides
y = -1
Subbing this into 5x + 8y = 2 we have
5x + 8(-1) = 2
5x - 8 = 2 add 8 to both sides
5x = 10 divide by 5 on both sides
x = 2