Nonlinear System (Part 2)

Algebra Level 4

\[\large \begin {cases} abc = 2 \\ a^{2}b^{3}c^{4} = 5 \\ a^{-1}b^{7}c^{-2} = 9 \end {cases} \]

If \(a, b,\) and \(c\) are real numbers, determine \( (a + b + c) \), to two decimal places.

Hint: Can you find a clever way of representing this as a linear system?

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