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MathNet 2019-part-02 — 184 problems (EN–VI) Question 103

Math Olympiad Vault · MathNet 2019-part-02 — 184 problems (EN–VI)

Question 103

Find all pairs $(x, y)$ of real numbers such that
$$
xy^3 = -135, \quad (x+y)y = -6. \quad (Matko Ljulj)
$$