Given the transfer functions below, find equivalent state$-$space representations.

$($a$),G(s)=\frac{C(s)}{R(s)}=\frac{30}{s^5+8s^4+9s^3+6s^2+s+30}$

$($b$),G(s)=\frac{C(s)}{R(s)}=\frac{s^4+2s^3+12s^5+7s+6}{s^5+9s^4+13s^3+8s^2}$