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.