An Augmented Matrix That Represents a System of Linear Equations $x$

question 87

Multiple Choice

An augmented matrix that represents a system of linear equations (in variables $x$ , $y$ , and $z$ ) has been reduced using Gauss-Jordan elimination. Write the solution represented by the augmented matrix.
$$\left[ \begin{array} { c c c : c } 1 & 0 & 0 & 9 \\0 & 1 & 0 & 8 \\0 & 0 & 1 & - 7\end{array} \right]$$

• A) \(x = 9 , y = 8 , z = - 7\)
• B) \(x = - 9 , y = - 8 , z = 7\)
• C) \(x = 0 , y = 0 , z = 0\)
• D) \(x = 9 x , y = - 7 y , z = 8 z\)
• E) \(x = 9 , y = 0 , z = 0\)

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