Answer :

8x+5y=-13

3x+4y=10

*4 on top

*5 on buttom

32x + 20y = - 52

15x + 20y = 50

subtraction

32x - 15x = - 52 - 50

17x = - 102

x = - 6

and then

3 * (-6) + 4y = 10

4y = 28

y = 7