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Algebra Level 5

\[\large\begin{cases} x^2+y+x^3y+xy^2+xy=\frac{-5}{4}\\x^4+y^2+xy(1+2x)=\frac{-5}{4}\end{cases}\] Find the sum of all \(x\) and \(y\) from pairs of Real Numbers that satisfy the system of equations above. Round to 2 decimal places.

Note: If the system above has \((5;2)\) and \((0;3)\) as the only solutions, then the sum of all \(x\) and \(y\) is \(5+2+0+3=10\)

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