2 equations and 3 variables?

Algebra Level 5

\[\dfrac{x}{y}+\dfrac{y}{z}+\dfrac{z}{x}= 7 \\ \dfrac{y}{x}+\dfrac{z}{y}+\dfrac{x}{z}= \ 9\]

If \(x,y,z\) are non zero real numbers such that they satisfy the equations above, find the value of: \[\displaystyle \dfrac{x^3}{y^3}+\dfrac{y^3}{z^3}+\dfrac{z^3}{x^3}-4\]

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