2 equations and 3 variables?

Algebra Level 5

xy+yz+zx=7yx+zy+xz= 9\dfrac{x}{y}+\dfrac{y}{z}+\dfrac{z}{x}= 7 \\ \dfrac{y}{x}+\dfrac{z}{y}+\dfrac{x}{z}= \ 9

If x,y,zx,y,z are non zero real numbers such that they satisfy the equations above, find the value of: x3y3+y3z3+z3x34\displaystyle \dfrac{x^3}{y^3}+\dfrac{y^3}{z^3}+\dfrac{z^3}{x^3}-4

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