Overturning Fracsum

Problem | Solution | Printable page |
Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Solve the following system of equations to find the values of $x$, $y$ and $z$. $${xy\over (x+y)}=1/2$$ $${yz\over (y+z)} =1/3$$ $${xz\over (x+z)} = 1/7$$
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Published May 1999.