System of equations

\hspace{-16}$Solution for $\bf{a\;,b\;,c}$ in \\\\ $\bf{a[a]+c\{c\}-b\{b\}=0.16}$\\\\ $\bf{b+a\{a\}-c\{c\} = 0.25}$\\\\ $\bf{c[c]+b\{b\}-a\{a\} = 0.49}$\\\\ Where $\bf{[x] = }$ Integer part of $\bf{x}$\\\\ and $\bf{\{x\} = }$ fractional part of $\bf{x}$

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