Question 16
Determine the smallest positive integer $p$ such that the system
$$\begin{cases}6x+4y+3z=0,\\4xy+2yz+pxz=0\end{cases}$$
has more than one set of real solutions in $x,y,z$.
$$\begin{cases}6x+4y+3z=0,\\4xy+2yz+pxz=0\end{cases}$$
has more than one set of real solutions in $x,y,z$.