AoPS Wiki:Problem of the Day/August 7, 2011

Find $x$ , $y$ , and $z$ :

$\frac{1}{x + y} = \frac{1}{7}$

$\frac{2}{y + z} = \frac{2}{9}$

$\frac{3}{x + z} = \frac{3}{8}$

(Idea/inspiration: Art of Problem Solving's Intermediate Algebra/Morocco National Olympiad problem)

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