# More than a system

Algebra Level 5

$\large\begin{cases} \sqrt{x-1}+2\sqrt{y+1}=y+\frac{9}{4} \\ \frac{x-1}{1+\sqrt{y+1}}+\frac{y+1}{1+\sqrt{x-1}}=\frac{1}{3}\end{cases}$ Give the product of all the solutions to the system above, give your answer to 4 decimal places.

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