Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. 2x+y'-8x-8y = e−2t x'+y'+4x+2y= e8t Eliminate y and solve the remaining differential equation for x. Choose the correct answer below. A. x(t)=C₁et+C2e-4t 4t OB. x(t) = C₁et cos 4t + C₂et sin 4t c. x(t) = C₁ cos 4t + C₂ sin 4t D. x(t) = C₁et + C₂te 4t OE. The system is degenerate. 2 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. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

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