Use the Matrix Capabilities of a Graphing Utility to Reduce

Use the matrix capabilities of a graphing utility to reduce the augmented matrix corresponding to the system of equations, and solve the system.
$$\left\{ \begin{aligned}x - 7 y - 3 z & = 64 \\3 x + 7 y + 2 z & = - 92 \\- 2 x + 14 y + 6 z & = 64 \\- 8 x + 2 y + 2 z & = 42\end{aligned} \right.$$

A) $x = - 9 , y = - 7 , z = - 8$
B) $x = 75 , y = 2 , z = - 1$
C) $x = - 9 , y = 7 , z = 8$
D) $x = - 9 , y = - 7 , z = 8$
E) no solution

Correct Answer:

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