Showing posts with label easy to deduce. Show all posts
Showing posts with label easy to deduce. Show all posts

Monday, May 4, 2015

Heuristic Method for Solving Hard System

Solve the system

$\dfrac{1}{x}+\dfrac{1}{y+z}=\dfrac{1}{2}$

$\dfrac{1}{y}+\dfrac{1}{x+z}=\dfrac{1}{3}$

$\dfrac{1}{z}+\dfrac{1}{x+y}=\dfrac{1}{4}$

Method II (Heuristic and satisfactory solution):