what is the quardent

-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