Problem

Problem

Solve the system of equations in x,yx, y and zz satisfying the following equations: x+[y]+{z}=3.1x + [y] + \{z\} = 3.1 {x}+y+[z]=4.3\{x\} + y + [z] = 4.3 [x]+{y}+z=5.4[x] + \{y\} + z = 5.4 where, [⋅][ \cdot ] and {⋅}\{ \cdot \} denote the greatest integer and fractional parts, respectively.

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