We will call this positive integer x.
We will call the other integer y.
We are looking for only integer solutions to the following equations.
First, plug in the first equation into the second,
Use the quadratic formula:
y = 16±√(256-4(5)(-756))/(10)
We only want positive integers,
Plug back into the first equation,
Therefore, the two positive integer solutions to this system of equations are x=24 and y=14.