Question 44
If $p$ is prime and $x, y$ are positive integers, find with respect to $p$, all the pairs $(x, y)$ satisfying the equation: $p(x-2) = x(y-1)$.
For the case we are given that $x+y=21$, find all triads $(x, y, p)$ satisfying equation (1).
For the case we are given that $x+y=21$, find all triads $(x, y, p)$ satisfying equation (1).