MathDB

4

Part of 2004 Czech-Polish-Slovak Match

Problems(1)

Solve System

Source: 4-rd Czchech-Polish-Slovak Match, 2004

12/12/2006
Solve in real numbers the system of equations: \begin{align*} \frac{1}{xy}&=\frac{x}{z}+1 \\ \frac{1}{yz}&=\frac{y}{x}+1 \\ \frac{1}{zx}&=\frac{z}{y}+1 \\ \end{align*}
algebrasystem of equationsalgebra unsolved