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(1 point) Use the Laplace transform to solve the following initial value problem: c' = 9x + 3y, y' = -6:+ed I(0) = 0, y(0) = 0 Let X(s) = [{x(t)}, and Y(s) = Cly(t)} Find the expressions you obtain by taking the Laplace transform of both differential equations and solving for Y(s) and X(s): X(s) Y(s) = Find the partial fraction decomposition of X(s) and Y(s) and their inverse Laplace transforms to find the solution of the system of DES: I ( t) = y( t) =