I’m not sure I understand the question. The equations you posted are equivalent. To take x - y = 2 to x = y + 2, you add y to both sides of the equation.
I’m happy to answer more if you let me know in the comments.
Answer:
x=5 y=3
Step-by-step explanation:
x+y=8 1
x-y=2 2
x+y=8
y=8-x
substitute into 2
x-(8-x)=2
x-8+x=2
2x=10
x=5
substitute x into 1
5+y=8
y=3
5+3=8
5-3=2