(Solved): Let \( k, h \) be unknown constants and consider the linear system: \[ \begin{array}{r} x+4 y+3 z=3 ...

Let \( k, h \) be unknown constants and consider the linear system: \[ \begin{array}{r} x+4 y+3 z=3 \\ -5 x-7 y+8 z=9 \\ 7 x+2 y+h z=k \end{array} \] 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. a unique value B. infinitely many values C. no values