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MathNet 2023-part-05 — 191 problems (EN–VI) Question 176

Math Olympiad Vault · MathNet 2023-part-05 — 191 problems (EN–VI)

Question 176

Find all real numbers $x, y, z$ such that $xy + z = -30$, $yz + x = 30$ and $zx + y = -18$.