Number theory · Diophantine equation · Divisibility · Factoring · Congruences
Problem 4, 2011
Find all integers \(x\) and \(y\) that satisfy
\[ 3xy + 2x + y = 12 . \]
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), regijsko (regional) round 2011, 1. letnik, category A, problem B1. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source