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 \(\dfrac{z}{y}\).