2x + 3y = - 19

-2x - y = 1

The x both cancels out

So you're left with 2y=-18 (add 3y to negative y and - 19 and 1)

Divide by 2 and y equals - 9

Plug in y to get x

2x + 3 (-9) = - 19

2x + - 27 = - 19

Add 27 to both sides

2x = 8

Divide by 2, x = 4

So x = 4 and y = - 9