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Find all solutions to the system using the Gauss-Jordan elimination algorithm. X1 + 2x7 + 2x3 = 6 2x1 + X7 + X3 = 12 Xin + 3X, = 12 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The system has a unique solution. The solution is x, = 0 *2 = 3 X, = O B. The system has an infinite number of solutions characterized by x, = , Xq =S, - 00