Find the solution to the given system of IVPs.

\[ -{x'} = -{y} - 4 \, {x} \hspace{2em}x(0)= -2 \]

\[ 7 \, {y} + 4 \, {x} = {y'} \hspace{2em}x(0)= -3 \]

Answer:

\[x= -e^{\left(8 \, t\right)} - e^{\left(3 \, t\right)} \]

\[y= -4 \, e^{\left(8 \, t\right)} + e^{\left(3 \, t\right)} \]