Find all the equilibrium solutions, xc$=($x$1,$x$2),$ of the systemx$1=$ax$1+$bx$1$x$2,$x$2=$cx$2$dx$1$x$2.$

Question $5$ options:

There are no equilibrium solutions.

x$0=($dc$,$ba$)$

x$0=(0,0),$x$1=($ab$,$cd$)$

x$0=(0,0)$

x$0=($cd$,$ab$)$

x$0=(0,0),$x$1=($cd$,$ab$),$

x$0=(0,0),$x$1=($dc$,$ba$)$

x$0=($ab$,$cd$)$

None of the options displayed.