Question

$$\left. \begin{array} { l } { x = m x + y } \\ { x - m = n + p } \\ { x m = n + p } \\ { x m = n + p } \end{array} \right.$$

Solve for x, y

$x=m+n+p$
$y=m$
$p=-\frac{m^{2}+mn-n}{m-1}\text{ and }m\neq 1$