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System error

Source: Kyiv City MO 2023 Round 1, Problem 10.2

December 16, 2023
algebrasystem of equations

Problem Statement

For any given real a,b,ca, b, c solve the following system of equations: {ax3+by=cz5,az3+bx=cy5,ay3+bz=cx5.\left\{\begin{array}{l}ax^3+by=cz^5,\\az^3+bx=cy^5,\\ay^3+bz=cx^5.\end{array}\right. Proposed by Oleksiy Masalitin, Bogdan Rublov
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