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BALTIC-WAY 1993 Problem 7

  • Answer

Solve the system of equations in integers:

{zx=y2x2z=4xx+y+z=20.\left\{\begin{array}{l} z^{x}=y^{2 x} \\ 2^{z}=4^{x} \\ x+y+z=20 . \end{array}\right.

Dataset text NuminaMath olympiads. Quoted with source.

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x=8, y=-4, z=16

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