The motiviation of this question is to look if there is such solution in rational number to the  identity which montioned [here], I have done  many attempts using wolfram alpha to find such pairs of rational $(x,y,z)$ for which  $\frac{x}{y+z}+\frac{y}{x+z}+\frac{z}{y+x}=1$ in rational but I failed even I believed that there is no such solutions ? 



[here]:
https://math.stackexchange.com/q/3654326