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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):
$\dfrac{1}{x}+\dfrac{1}{y+z}=\dfrac{1}{2}$
$\dfrac{1}{y}+\dfrac{1}{x+z}=\dfrac{1}{3}$
$\dfrac{1}{z}+\dfrac{1}{x+y}=\dfrac{1}{4}$
Method II (Heuristic and satisfactory solution):
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