Determine all values of $h$ and $k$ for which the linear system $$\begin{array}{rrrrrrrr}& 4 \,x&+& 3 \, y&+& 7 \, z&=&4\\& 5 \,x&+& 5 \, y&+& 8 \, z&=&3\\& 24 \,x&+& 23 \, y&+& h \, z&=&k\\ \end{array}$$ has no solution.

The linear system has no solution if $k \neq$ and $h =$ .