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MathNet 2021 — Part 04 Question 19

Math Olympiad Vault · MathNet 2021 — Part 04

Question 19

The graphs of the equations
$$
\begin{aligned}
y & = -x + 8 \\
173y & = -289x + 2021
\end{aligned}
$$
on the Cartesian plane intersect at $(a, b)$. Find $a + b$.