# Simplistic Symmetric System

Algebra Level 3

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

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

Details and assumptions

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

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