You can put this solution on YOUR website! Your problem description is faulty. Either x is a constant or it is variable. x cannot be both constant and variable in the same equation. I am solving an adjusted problem.
This is the adjusted problem. Given that y is proportional to (16-x) and the constant of proportionality is equal to r. Find the value of x when y is 1.
You still were given no information to allow finding a value for the proportionality constant.
Let y=1, find x or r?
or
The question is not any further resolvable.
FURTHER: If the variation is "varies inversely", the problem still has the same fault and the description and question are still wrong. x cannot be both an input variable and a proportionality constant in the same problem, exercise, or equation.