Find the System of Linear Equations Represented by the Augmented $$\left[ \begin{array} { c c c c } 1 & -4 & \vdots & 6 \\0 & 1 & \vdots & - 5\end{array} \right]$$

question 111

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.) $$\left[ \begin{array} { c c c c } 1 & -4 & \vdots & 6 \\0 & 1 & \vdots & - 5\end{array} \right]$$

• A) \(\left\{ \begin{aligned}
• x + 4 y & = 6 \\
• y & = - 5
• \end{aligned} \right.\) (-14, -5)
• B) \(\left\{ \begin{aligned}
• x - 4 y & = 6 \\
• y & = - 5
• \end{aligned} \right.\) (-14, -5)
• C) \(\left\{ \begin{aligned}
• x - 4 y & = 6 \\
• y & = - 5
• \end{aligned} \right.\) (-14, 5)
• D) \(\left\{ \begin{aligned}
• x + 4 y & = 6 \\
• y & = - 5
• \end{aligned} \right.\) (-5, -14)
• E) \(\left\{ \begin{aligned}
• x - 4 y & = 6 \\
• y & = - 5
• \end{aligned} \right.\) (-5, -14)