x divided by y equals x+y

Question

the quotient of two numbers is equal to the sum of those numbers

Answer 1

x/y=x+y, x=xy+y², x-xy=y², x(1-y)=y², so x=y²/(1-y).

Given y≠0 and y≠1 we can find x.

Example: let y=2, then x=-4; let y=-1, then x=½; let y=½, then x=½; etc.

There are many solutions and the same value of x usually has two different values for y.