olymmath

BALTIC-WAY 2021 Problem 16

    Show that no non-zero integers a,b,x,ya, b, x, y satisfy

    {ax−by=16,ay+bx=1.\left\{\begin{array}{l} a x-b y=16, \\ a y+b x=1 . \end{array}\right.

    Dataset text NuminaMath olympiads. Quoted with source.

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