Find \( y^{(y+x)} \)?

Algebra Level 2

\[ \begin{cases} 7^x \cdot 5^y = 175 \\ 7^y \cdot 5^x = 245 \end{cases} \]

Let \(x\) and \(y\) be real numbers satisfying the system of equations above.

Find \(y^{x+y} \).

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