$17.)$ Given the system of First$-$order O rjinary differential equation below.

$\frac{del{x}_1}{\text{d}\text{e}\text{l}\text{t}}=-4x_1+x_2$;$x_1(0)=100$

$\frac{del{x}_2}{\text{d}\text{e}\text{l}\text{t}}=4x_1-4x_2$;$x_2(0)=0$

a$)$ use the Method of Laplace transform to Solve the sxstem

b$)$ Solve the Sxstem by hirst identifing the eigenvalues followed by inverting the coefricient matrix.