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Use the Matrix Capabilities of a Graphing Utility to Reduce {x7y3z=643x+7y+2z=922x+14y+6z=648x+2y+2z=42\left\{ \begin{array} { c } 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{array} \right.

Question 17

Multiple Choice

Use the matrix capabilities of a graphing utility to reduce the augmented matrix corresponding to the system of equations, and solve the system.
{x7y3z=643x+7y+2z=922x+14y+6z=648x+2y+2z=42\left\{ \begin{array} { c } 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{array} \right.


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

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