Use Gauss-Jordan Elimination to solve the system by first converting it to an augmented matrix and then performing systematic row reduction. 

\( - 12 x + 12 y - 4 z = - 60 \) 

\( 6 x - 7 y + 4 z = 32 \) 

\( - 3 x + 3 y - 2 z = - 15 \) 

\( x = \) 

\(y = \square \) 

\( z = \square\) 

Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. 

\( \left\{ \begin{array} { l } { x + y - z = 8 } \\ { 2 x - 5 y + 7 z = - 7 } \\ { x + 3 y - 3 z = 14 } \end{array} \right.\) 

Select the correct choice below and, if necessary, fill in the answer box(es) in your choice. A. The solution is (Simplify your answers.) B. There are infinitely many solutions. The solution can be written as \( \{ ( x , y , z ) | x = \square , y = \square , z \) is any real number \( \} \) . (Simplify your answers. Type expressions using \( z \) as the variable.) C. There are infinitely many solutions. The solution can be written as \( \{ ( x , y , z ) | x = \square , y \) is any real number, \( z \) is any real number \( \} \) . (Simplify your answer. Type an expression using y and \( z \) as the variables.) D. The system is inconsistent.