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

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)