1
$\begingroup$

somebody asked me this. I don't know whether it is interesting but I hope someone can solve it.

find $x,y,z$ such that

$x+yz=M$,

$y+zx=N$,

$z+xy=K$,

where $M,N,K$ are constants.

  • 0
    The symmetry of the problem makes me want to multiply the first by x, the second by y, and the third by z. This gives an xyz in each. Unfortunately, that doesn't seem to help. Maybe somebody can take this and run with it.2012-11-18

2 Answers 2