I am trying to find the values of x, y and z having these equations. a, b and c are constants. $$ \begin{cases} a = (\frac y x)^{1/2} \cdot \frac {x+y} x \\ b = (\frac z x)^{1/2} \cdot \frac {z+x} x \\ c = (\frac y z)^{1/2} \cdot \frac {y+z} z \end{cases} $$ I have no idea how to find values of x, y and z. I have tried to solve them by multiplication, division by all I get in return is another set of equations.
Thanks for the help.