Question: Let u represent 1/x, v represent 1/y, and w represent 1/z. Solve first for u, v, and w. Then solve the following system of equations:

Let u represent 1/x, v represent 1/y, and w represent 1/z. Solve first for u, v, and w. Then solve the following system of equations:
2/x + 2/y - 3/z = 3,
1/x - 2/y - 3/z = 9,
7/x - 2/y + 9/z = -39.

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