# Floor system of equations

Algebra Level 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 $x+y+z$.

Notations:

• $\lfloor \cdot \rfloor$ denotes the floor function.
• $\lceil \cdot \rceil$ denotes the ceiling function.
• $\{ \cdot \}$ denotes the fractional part function.
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