# Are you kidding me?

Algebra Level 4

$\large \begin{cases} x^{2}-2xy+2y^{2}-20x+5y-4=0 \\ 3x+2y+1=0 \end{cases}$

Given that there exist two solution pairs $$(x_{1},y_{1})$$ and $$(x_{2},y_{2})$$ for the above system of equations, find $$x_{1}+y_{1}+x_{2}+y_{2}$$ correct to three decimal places.

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