Question

-5x + 9y = 14 -3x + 9y = -6

Answer 1

You can solve it by several ways, but easiest and shortest would be "By Elimination"

So, subtract 2nd equation from 1st, 
-2x = 20
x = -10

Substitute it in 2nd equation, 
-3(-10) + 9y = -6
30 + 9y = -6
9y = -6 - 30
y = -36/9
y = -4

In short, Your Answer would be: (-10, -4)

Hope this helps!