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Problem Of The Week #489 November 18th 2021

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anemone

MHB POTW Director
Staff member
Feb 14, 2012
3,941
Here is this week's POTW:

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Find all reals $x$ and $y$ that satisfy the system $\dfrac{3x-y}{x^2+y^2}=3-x$ and $\dfrac{x+3y}{x^2+y^2}=y$.

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Remember to read the POTW submission guidelines to find out how to submit your answers!
 
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