MathDB
positive real system \frac{1}{xy}=\frac{x}{z}+ 1,\frac{1}{yz} = \frac{y}{x} + 1

Source: CRMO 2012 Region 4 p6

September 30, 2018
system of equationsalgebraSolve system

Problem Statement

Solve the system of equations for positive real numbers: 1xy=xz+1,1yz=yx+1,1zx=zy+1\frac{1}{xy}=\frac{x}{z}+ 1,\frac{1}{yz} = \frac{y}{x} + 1, \frac{1}{zx} =\frac{z}{y}+ 1
Back to ProblemsView on AoPS