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MathNet 2008-part-04 — 165 problems (EN–VI) Question 152

Math Olympiad Vault · MathNet 2008-part-04 — 165 problems (EN–VI)

Question 152

Find the sum of all solutions for $x$ :
$$
\begin{aligned}
x y & = 1 \\
x + y & = 3
\end{aligned}
$$