Please help me with this question I am having difficulty with it

Answer:
The first x=4 y=8
Step-by-step explanation:
2x-5 = y-5
x+1 = y-3
Multiply the second by -2(to eliminate x)
2x-5 =y-5
-2x-2= -2y+6
ADD BOTH
-7 = -y+1
y=8
PLUG y
x+1 =y-3
x+1 =8-3
x+1=5
x=4