You are given the following system of differential equations:  dx/dy = 6x + 2y, dy/dt = 2x + 9y  You are told that the coefficient matrix is:  [6 2] [2 9] and this matrix has eigenvectors:  [1] and [-2] [2]         [1]  and the corresponding eigenvalues of 10 and 5.  What is the general solution of this system?

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