Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists. \( \left\{\begin{aligned}-x+y+z=-1 \\ -x+5 y-15 z=-13 \\ 3 x-2 y-7 z=\end{aligned}\right. \) Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. There is one solution. The solution set is \( \{(\square, \square)\} \) (Simplify your answers.) B. There are infinitely many solutions. The solution set is \( \{(\square, \square, z)\} \), where \( z \) is any real number. (Type expressions using \( z \) as the variable. Use integers or fractions for any numbers in the expressions.) C. There is no solution. The solution set is \( \varnothing \).
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