Write the system of equations associated with the given augmented matrix. Do not solve.
\[
\left[\begin{array}{ccc|c}
4 & 2 & 1 & 4 \\
0 & 2 & 5 & 16 \\
-1 & 3 & 5 & 11
\end{array}\right]
\]
Choose the correct answer below.
A.
\[
\begin{array}{r}
4 x+2 y+z=4 \\
2 y+5 z=16 \\
-x+3 y+5 z=11
\end{array}
\]
B.
\[
\begin{aligned}
4 x+2 y+z & =4 \\
x+2 y+5 z & =11 \\
-x+3 y+5 z & =16
\end{aligned}
\]
C.
\[
\begin{aligned}
4 x+2 y+z & =16 \\
2 y+5 z & =4 \\
-x+3 y+5 z & =11
\end{aligned}
\]
D.
\[
\begin{aligned}
4 x-z & =4 \\
2 x+2 y+3 z & =16 \\
x+5 y+5 z & =11
\end{aligned}
\]
Answer
\[\boxed{\begin{array}{r} 4 x+2 y+z=4 \\ 2 y+5 z=16 \\ -x+3 y+5 z=11 \end{array}}\]
Step 1 ：Write the system of equations associated with the given augmented matrix. Do not solve.
Step 2 ：\[\begin{array}{r} 4 x+2 y+z=4 \\ 2 y+5 z=16 \\ -x+3 y+5 z=11 \end{array}\]
Step 3 ：The correct answer is A. The system of equations associated with the given augmented matrix is:
Step 4 ：\[\boxed{\begin{array}{r} 4 x+2 y+z=4 \\ 2 y+5 z=16 \\ -x+3 y+5 z=11 \end{array}}\]
