Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. 2x' + y'-7x-6y = e-t x'+y' + 3x +2y = et Eliminate y and solve the remaining differential equation for x. Choose the correct answer below. 1 -t A. x(t) = C₁ cos (2t) + C₂ sin (2t) + 5 e + O B. x(t) = C₁ cos (2t) + C₂ sin (2t) 1 - 2t OC. x(t) = C₁ e ²t + + C₂ e 5 1 D. x(t) = C₁ e ²t cos (2t) + C₂ e ²¹ sin (2t) + e Now find y(t) so that y(t) and the solution for x(t) found in the previous step are a general solution to the system of differential equations. y(t) = + e

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