$\displaystyle \frac{3x+y+1}{8}=\frac{x-y}{5}=\frac{x^2-y^2}{5}$

$\displaystyle \frac{3x+y+1}{8}=\frac{x-y}{5}$

$\displaystyle 7x+13y=-5 $ --- 1

$\displaystyle

\frac{x-y}{5}=\frac{x^2-y^2}{5}

$

$\displaystyle x-y=(x+y)(x-y)$

x+y=1 (I am not sure if i can do this) ----2

So solving 1 and 2 , i gt x=3 and y=-2 .

It looks to me that there is another pair of values x and y but just couldn't find them . I am confusing my self at times . How can i find the other pair ?