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Write the System of Equations Associated with the Augmented Matrix [56−9−9650−4−3037]\left[ \begin{array} { r r r | r } 5 & 6 & - 9 & - 9 \\6 & 5 & 0 & - 4 \\- 3 & 0 & 3 & 7\end{array} \right]

Question 318

Multiple Choice

Write the system of equations associated with the augmented matrix. Do not solve.
- [56−9−9650−4−3037]\left[ \begin{array} { r r r | r } 5 & 6 & - 9 & - 9 \\6 & 5 & 0 & - 4 \\- 3 & 0 & 3 & 7\end{array} \right]


A) 5x+6y−9z=−95 x + 6 y - 9 z = - 9
6x+5y=−4−3x+3y=7\begin{array} { r r } 6 x + 5 y & = - 4 \\ - 3 x + 3 y & = 7 \end{array}

B) 5x+6y−9z=−95 x + 6 y - 9 z = - 9
6x+5z=−46 x + 5 z = - 4
−3x+3y=7- 3 x + 3 y = 7

C) 5x+6y−9z=−95 x + 6 y - 9 z = - 9
6x+5y−4z=06 x + 5 y - 4 z = 0
−3x+3y+7z=0- 3 x + 3 y + 7 z = 0

D) 5x+6y−9z=−95 x + 6 y - 9 z = - 9
6x+5y=−46 x + 5 y = - 4
−3x+3z=7- 3 x \quad + 3 z = 7

Correct Answer:

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