Algebra · Systems of equations · Rational equations · Quadratic equations · Domain conditions
Find all pairs of real numbers \(x\) and \(y\) that solve the system
\[ \frac{x}{6} + \frac{4}{y} = 2, \qquad \frac{18}{x} + \frac{y}{2} = 5 . \]
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Slovenian High School Mathematics Competition for Vega Awards (MaSSA), odbirno (qualifying) round 2025, 1. letnik, category A, problem 1. Organized by DMFA Slovenije (Society of Mathematicians, Physicists and Astronomers of Slovenia). Source