-10x - 3y = -18 (1)
-7x - 8y = 11 (2)
Multiply equation (1) by 8 and equation (2) by -3
-80x - 24y = -144 (1)
21x + 24y = -33 (2)
-------------------------------Add
-59x = -177
x = 3
Plug in x = 3 into -10x-3y=-18
-10(3) -3y =-18
-30 - 3y = -18
3y = -12
y = -4
Answer
(3, - 4)