-6x+4y=4 multiply by -4 → 24x - 16y = - 16 (1)
-4x-5y=18 multiply by 6 → -24x - 30y = 108 (2)
Add (1) and (2)
- 46y = 92 divide by - 46
y = - 92/46 = - 2
Using -6x+4y=4 → -6x + 4(-2) = 4 → -6x - 8 = 4 →
-6x = 12 → x = - 2
So...the solution is { x , y } = { -2 , -2 } = 3rd quadrant