I’m the first equation solve for y
5x-y=-5
Subtract 5x from both sides
-y = -5-5x
Multiply both sides by -1
Y = 5+5x
Now plug this in for y in the other equation
3x-6(5+5x) =24
Distribute
3x-30-30x=24
Simplify
-27x-30 = 24
Add 30
-27x = 54
Divide
X = -2
Now plug this in the first equation
Y = 5+5(-2)
Y = 5 -10
Y = -5
So X = -2, Y = -5