content area top Part 1 Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. x prime equals 7 x minus y y prime equals 7 y minus x Question content area bottom Part 1 Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. A. y(t)equalsUpper C 1 e Superscript negative 6 t Baseline plus Upper C 2 e Superscript negative 8 t B. y(t)equalsUpper C 1 e Superscript 6 t Baseline plus Upper C 2 t e Superscript 6 t C. y(t)equalsUpper C 1 e Superscript 6 t Baseline plus Upper C 2 e Superscript 8 t D. y(t)equalsUpper C 1 e Superscript 8 t Baseline plus Upper C 2 t e Superscript 8 t E. The system is degenerate. Part 2 Now find x(t) so that x(t) and the solution for y(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