Solve the system of equations in ,

MATHEMATICS · Subjective · AoPS · Mathematics · Special Functions · Special Functions

Problem

Solve the system of equations in

x

y

, and

z

x+[y]+\{z\}=3.1

\{x\}+y+[z]=4.3

[x]+\{y\}+z=5.4

Here

[\cdot]

and

\{\cdot\}

denote the greatest integer and fractional parts, respectively.