Find the solution to the given system that satisfies the given initial condition.

$x^{\text{'}}(t)=\left[\begin{array}{cc}-3& -1\\ 2& -1\end{array}\right]x(t)$

$($a$)x(0)=\left[\begin{array}{c}-5\\ 0\end{array}\right]$

$($b$)x()=\left[\begin{array}{c}1\\ -1\end{array}\right]$

$($c$)x(-2)=\left[\begin{array}{c}4\\ 1\end{array}\right]$

$($d$)x(\frac{}{2})=\left[\begin{array}{c}0\\ 1\end{array}\right]$

$($a$)x(t)=$

$($Use parentheses to clearly denote the argument of each function.$)$