Solve the following system of differential equations with the given initial conditions, and then, to get credit for the problem, calculate x(1.0) to the nearest thousandth (3 decimal places). x' =...

Solve the following system of differential equations with the given initial conditions, and then, to get credit for the problem, calculate x(1.0) to the nearest thousandth (3 decimal places).

x' = -11x - 4 y
y' = 24x + 11 y

x(0) = -6
y(0) = 14

x'=dx/dt

y'=dy/dt