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IMAS 2022–2023 Junior Division — First Round Question 7

IMAS · IMAS 2022–2023 Junior Division — First Round

Question 7

Which ordered pair $(x,y)$ satisfies the following system of equations: $\begin{cases}\frac12x-\frac14y=10\\\frac18x-\frac18y=19\end{cases}$?
  1. $(680,264)$
  2. $(-54,-87)$
  3. $(-112,-264)$
  4. $(-112,98)$
  5. $(152,264)$