If the given system

$ax+by+cz=0$;$bx+cy+az=0$;$cx+ay+bz=0$ has non$-$trivial solution, then which of the following is true?

$-a+b+c=0ora=-b=-c$

$a+b+c=0ora=b=c$

$a+b-c=0ora=-b=c$

$a-b+c=0ora=b=-c$