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.