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HMMT November 2021 U1

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The graphs of the equations

y=−x+8173y=−289x+2021\begin{aligned} y & =-x+8 \\ 173 y & =-289 x+2021 \end{aligned}

on the Cartesian plane intersect at (a,b)(a, b). Find a+ba+b.

Dataset text NuminaMath olympiads. Quoted with source.

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