please answer all parts

Often, physical systems may be modeled with a system of differential equations. Suppose that we have two functions, x(t) and y(t), which satisfy the following system of first-order differential equations: dt =-r + 3y x(0) = 4, y(0) = 0. dy dt =cty (a) (2 points) Take the Laplace Transform of each equation in the system to turn it into a system of linear equations in the "variables" C[x] and Cly]. (b) (6 points) Solve the system of linear equations in part (a) to find expressions for a(t) and y(t)