The problem tell us that y = -1. Plug in this y-value to wherever you see a y in the first equation. You should be able to solve from there. Your solution will be (-8,-1).
-2x - 3(-1) = 19
-2x + 3 = 19
-2x = 16
x = -8
For this particular problem, you could have also looked at the answer choices and seen that there was only one answer with the correct y-value.