Question

if x=p+2 and y=p-3, show that x+y+1=2p and x-y-5=0​

Answer 1

If $x=p+2$ and $y=p-3$, then

$x+y = (p+2) + (p-3) = 2p - 1 \implies x+y+1=2p$

and

$x-y = (p+2)-(p-3) = 5 \implies x-y-5=0$

as required.