Write the System of Linear Equations Represented by the Augmented $\left[\begin{array}{rrrrl}1 & 0 & 0 & 4 & :-5\\3 & -7 & 0 & 0 & :3\\0&-4&8&-1&:-6 \\0 & 0 & 3 & 7 &:7\end{array}\right]$

question 21

Multiple Choice

Write the system of linear equations represented by the augmented matrix.(Use variables x,y,z,and w. ) $\left[\begin{array}{rrrrl}1 & 0 & 0 & 4 & :-5\\3 & -7 & 0 & 0 & :3\\0&-4&8&-1&:-6 \\0 & 0 & 3 & 7 &:7\end{array}\right]$

• A) \[\left\{ \begin{array} { r l r }
• x + 4 y & = & - 5 \\
• 3 x - 7 y & = & 3 \\
• - 4 x + 8 y - z & = & - 6 \\
• 3 x + 7 y & = & 7
• \end{array} \right.\] ​
• B) \[\left\{ \begin{array} { r l r }
• x + 4 z & = - 5 \\
• 3 x - 7 y & = 3 \\
• - 4 y + 8 z - w & = - 6 \\
• 3 z z + 7 w & = 7
• \end{array} \right.\] ​
• C) \[\left\{ \begin{array} { r l r }
• x + 4 z & = - 5 \\
• 3 x - 7 z & = 3 \\
• - 4 y + 8 z - w & = - 6 \\
• 3 z z + 7 w & = 7
• \end{array} \right.\] ​
• D) \[\left\{ \begin{array} { r l r }
• x + 4 w & = - 5 \\
• 3 x - 7 y & = 3 \\
• - 4 y + 8 z - w & = - 6 \\
• 3 y + 7 z & = 7
• \end{array} \right.\] ​
• E) \[\left\{ \begin{aligned}
• x + 4 w & = - 5 \\
• 3 x - 7 y & = 3 \\
• - 4 y + 8 z - w & = - 6 \\
• 3 z + 7 w & = 7
• \end{aligned} \right.\] ​