Let $k, h$ be unknown constants and consider the linear system: $$\begin{array}{rrrrrrrr}& 4 \,x&+& 3 \, y&+& 7 \, z&=&4\\& 5 \,x&+& 5 \, y&+& 8 \, z&=&3\\& 24 \,x&+& 23 \, y&+& h \, z&=&k\\ \end{array}$$ This system has a unique solution whenever $h \neq$ .

If $h$ is the (correct) value entered above, then the above system will be consistent for how many value(s) of $k$?
A. no values
B. a unique value
C. infinitely many values