# Why is $$z$$ not so special?

Algebra Level pending

$\begin{cases} x+\lfloor y \rfloor +\{z\}=200 \\ y+\lfloor z \rfloor +\{x\}=190.1 \\ z+\lfloor x \rfloor +\{y\}=178.8 \end{cases}$

Solve the above system of equations and find $$x+3y$$.

Notations:

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