Find the System of Linear Equations Represented by the Augmented $$\left[ \begin{array} { c c c c } 1 & 7 & \vdots & 0 \\0 & 1 & \vdots & - 1\end{array} \right]$$

question 69

Multiple Choice

Find the system of linear equations represented by the augmented matrix.Then use back substitution to solve.(Use variables x, y, z, and w if applicable.) $$\left[ \begin{array} { c c c c } 1 & 7 & \vdots & 0 \\0 & 1 & \vdots & - 1\end{array} \right]$$

• A) \(\left\{ \begin{array} { r }
• x + 7 y = 0 \\
• y = 0
• \end{array} \right.\) (7, 0)
• B) \(\left\{ \begin{aligned}
• x + 7 y & = 0 \\
• x & = - 1
• \end{aligned} \right.\) (-1, 7)
• C) \(\left\{ \begin{aligned}
• x + 7 y & = 0 \\
• y & = - 1
• \end{aligned} \right.\) (7, -1)
• D) \(\left\{ \begin{array} { r }
• x + 7 y = 0 \\
• y = 1
• \end{array} \right.\) (7, 1)
• E) \(\left\{ \begin{aligned}
• x + 7 y & = 0 \\
• y & = - 1
• \end{aligned} \right.\) (7, 1)

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