Can somebody please answer this by elimination!

x-y= -5
2x+y= -4

x = y-5 set to x
2(y-5) + y = -4 substitute y-5 for x then solve for y
2y-10 + y = -4
3y = 6
y = 2

x-2 = -5 plug y=2 into the original equation
x = -3

By elimination:

You have x-y=-5 and 2x+y=-4
2x+y=-4
x-y=-5

You can solve this by addition. First column: 2x+x=3x
So we have 3x

Second column: y+(-y)=0 and now you've eliminated your y.

Third column: -4+-5= -9

You're new equation 3x=-9
Divide both sides by 3 and x=-3