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## 'Overturning Fracsum' printed from http://nrich.maths.org/

Solve the following system of equations to find the values of $x$,
$y$ and $z$. $${xy\over (x+y)}=1/2$$
$${yz\over (y+z)} =1/3$$ $${xz\over (x+z)} =
1/7$$