Question 34
Consider the simultaneous equations
$$\begin{cases}xy+xz=255,\\xz-yz=224.\end{cases}$$
Find the number of ordered triples of positive integers $(x,y,z)$ that satisfy the above system of equations.
$$\begin{cases}xy+xz=255,\\xz-yz=224.\end{cases}$$
Find the number of ordered triples of positive integers $(x,y,z)$ that satisfy the above system of equations.