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

question 81

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.
$$\left[ \begin{array} { c c c : c } 1 & 0 & 0 & - 1 \\0 & 1 & 0 & 3 \\0 & 0 & 1 & 8\end{array} \right]$$

• A) \(x = - 1 , y = 3 , z = 8\)
• B) \(x = 1 , y = - 3 , z = - 8\)
• C) \(x = 0 , y = 0 , z = 0\)
• D) \(x = - x , y = 8 y , z = 3 z\)
• E) \(\quad x = - 1 , y = 0 , z = 0\)

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