The system

$\left\lbrace\begin{array}{rrrrrrrr}& -6 \, x&- &24 \,y&- &71 \,z&=&0\\& \,x&+& 5 \, y&+& 16 \, z&=&0\\& \,x&+& 4 \, y&+& 12 \, z&=&0\\ \end{array}\right.$

has the solution $x=$ , $y=$ , $z=$ .