Use the Matrix Capabilities of a Graphing Utility to Reduce $$\left\{ \begin{array} { c } x + 4 y + 8 z = 5 \\7 x - 3 y - 4 z = - 64 \\- x - 4 y - 8 z = - 5 \\6 x + 5 y + 7 z = - 18\end{array} \right.$$

Use the matrix capabilities of a graphing utility to reduce the augmented matrix corresponding to the system of equations, and solve the system.
$$\left\{ \begin{array} { c } x + 4 y + 8 z = 5 \\7 x - 3 y - 4 z = - 64 \\- x - 4 y - 8 z = - 5 \\6 x + 5 y + 7 z = - 18\end{array} \right.$$

A) $x = - 7 , y = 9 , z = - 3$
B) $x = 5 , y = - 2 , z = 1$
C) $x = - 7 , y = - 9 , z = 3$
D) $x = - 7 , y = 9 , z = 3$
E) no solution

Correct Answer:

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