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2021 JMPSC Invitationals Problems/Problem 8

Revision as of 15:06, 11 July 2021 by Samrocksnature (talk | contribs) (→‎Problem)

Problem

Let $x$ and $y$ be real numbers that satisfy \[(x+y)^2(20x+21y) = 12\] \[(x+y)(20x+21y)^2 = 18.\] Find $21x+20y$.

Solution

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