MathDB

(x + 6)/y+ 13/xy=(4-y)/x

Source: 2004 Estonia National Olympiad Final Round grade 9 p1

March 25, 2020

equationalgebra

Problem Statement

Find all pairs of real numbers

(x, y)

that satisfy the equation

\frac{x + 6}{y}+\frac{13}{xy}=\frac{4-y}{x}