Floor system of equations

Algebra Level 3

{x+y+{z}=1.1x+{y}+z=2.2{x}+y+z=3.3\begin{cases} x+ \lfloor y \rfloor+ \left \{ z \right \}=1.1\\ \lfloor x \rfloor+ \left \{ y \right \}+z=2.2 \\ \left \{ x \right \}+y+\lfloor z \rfloor=3.3 \end{cases}

Find the solution to the system of equations and submit your answer as x+y+zx+y+z.

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