JEE Novice - (24) (fixed)

Algebra Level 3

$\Large \begin{cases} \dfrac{1}{x} + \dfrac{1}{y} = \dfrac{1}{3} \\ \dfrac{1}{x} + \dfrac{1}{z} = \dfrac{1}{5} \\ \dfrac{1}{y} + \dfrac{1}{z} = \dfrac{1}{7} \end{cases}$

If $x,y,z$ satisfy the system above , find the value of the ratio $\dfrac{z}{y}$ .