Q$1.$ Obtain the state variable model of the following system. Also, let the Outputs $Y_1$ and $Y_2$ be $x(t)+2U_1(t)$ and $x(t)($Find the matrices $A,B,C$ and D of the standard state variable model$).$

$2x^{}(t)+x(t)+3Z(t)=5U_1(t)$

$7Z^{}(t)+2Z(t)=U_2(t)$

Please explain steps. Thank you!