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diophantine, xy + x + y = 71, x^2y + xy^2 = 880 Puerto Rico TST 2007.2

Source:

September 15, 2021
number theoryDiophantine equationdiophantinealgebrasystem of equations

Problem Statement

Find the solutions of positive integers for the system xy+x+y=71xy + x + y = 71 and x2y+xy2=880x^2y + xy^2 = 880.
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