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Find the number of distinct real solutions of the system of equations {xz−zx=23yx−9xy=2zy−9yz=6.\begin{cases} \frac{x}{z}-zx=\frac {2}{3}\\ \frac{y}{x}-9xy=2\\ \frac{z}{y}-9yz=6.\\ \end{cases} ⎩⎪⎨⎪⎧zx−zx=32xy−9xy=2yz−9yz=6.
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