Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists:
7x1 + 23x2 + 8x3 = 18
3x1 + 10x2 + 5x3 = -5
x1 + 3x2 - 2x3 = 6
Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice:
A. The unique solution is x1 = , x2 = , and x3 =
B. The system has infinitely many solutions. The solution is x1 = , x2 = , and x3 = t. (Simplify your answer. Type an expression using t as the variable.)
C. The system has infinitely many solutions. The solution is x1 = , x2 = s, and x3 = t. (Simplify your answer. Type an expression using s and t as the variables.)
D. There is no solution.