Find the equilibrium state of the dynamical system
$$\begin{array}{l} x_1(t+1) = -0.3 x_1(t) + 0.1 x_2(t) + 0, \cr x_1(t+1) = -1 x_1(t) - 0.9 x_2(t) - 3. \end{array}$$
$\left[\begin{array}{c} x_{1}\cr x_{2}\cr \end{array}\right] =$ $\left[\Rule{0pt}{2.4em}{0pt}\right.$$\left]\Rule{0pt}{2.4em}{0pt}\right.$