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

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)