Simplistic Symmetric System

Algebra Level 3

Consider the function f(x)=234x f(x) = 234-x . How many ordered pairs of positive integers (x,y) (x, y) are there such that

{x=f(y)y=f(x) \begin{cases} x = f(y) \\ y = f(x) \\ \end{cases}

Details and assumptions

For an ordered pair of integers (a,b)(a,b), the order of the integers matter. The ordered pair (1,2)(1, 2) is different from the ordered pair (2,1)(2,1) .


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