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

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)
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B) ​ $$\left\{ \begin{aligned}x - 4 y & = 6 \\y & = - 5\end{aligned} \right.$$ (-14,-5)
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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)