A lot of variables

Algebra Level 2

If ax=by=cza^x=b^y=c^z and a3=b2ca^3=b^2c, with x,y,zx,y,z are non zero numbers, and a,b,ca, b, c are positive non-one numbers.

What is the value of 3x2y \dfrac{3}{x}-\dfrac{2}{y} ?


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