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

question 8

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

• 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)

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