Write the System of Linear Equations Represented by the Augmented $\left[\begin{array}{rrrrr}1 & 2 & 5 & \vdots & 34 \\0 & 1 & 2 & \vdots & 14 \\0 & 0 & 1 & \vdots & 5\end{array}\right]$

Multiple Choice

Write the system of linear equations represented by the augmented matrix.Then use back-substitution to solve.(Use variables x, y, and z.) $\left[\begin{array}{rrrrr}1 & 2 & 5 & \vdots & 34 \\0 & 1 & 2 & \vdots & 14 \\0 & 0 & 1 & \vdots & 5\end{array}\right]$

A) x = 35, y = -3, z = 1
B) x = 4, y = 1, z = 5
C) x = 1, y = -4, z = -5
D) x = 1, y = 4, z = 5
E) x = -4, y = 5, z = -1