For a real number x is [x] the next smaller integer to x, that is the integer g with g≦<g+1, and {x}=x−[x] is the “decimal part” of x.
Determine all triples (a,b,c) of real numbers, which fulfil the following system of equations:
{a}++{c}=2,9{b}+[c]+{a}=5,3{c}+[a]+{b}=4,0 algebrasystem of equationsalgebra unsolved