Write a system of linear equations represented by the augmented matrix. $\left[ \begin{array} { l l l | l } 1 & 0 & 0 & 14 \ 0 & 1 & 0 & 13 \ 0 & 0 & 1 & 15 \end{array} \right]$
A)
$\begin{array}{l}
(x-1)+y+z=14 \
x+(y-1)+z=13 \
x+y+(z-1)=15
\end{array}$

B)
$\begin{array}{l}
x=14 \
y=13 \
z=15
\end{array}$

C)
$\begin{array}{l}
x+y+z=14 \
x+y+z=13 \
x+y+z=15
\end{array}$

D)
$\begin{array}{l}
x=-14 \
y=-13 \
z=-15
\end{array}$

Question

Write a system of linear equations represented by the augmented matrix. $\left[ \begin{array} { l l l | l } 1 & 0 & 0 & 14 \ 0 & 1 & 0 & 13 \ 0 & 0 & 1 & 15 \end{array} \right]$
A)
 $\begin{array}{l}
(x-1)+y+z=14 \
x+(y-1)+z=13 \
x+y+(z-1)=15
\end{array}$

B)
$\begin{array}{l}
x=14 \
y=13 \
z=15
\end{array}$

C)
$\begin{array}{l}
x+y+z=14 \
x+y+z=13 \
x+y+z=15
\end{array}$

D)
$\begin{array}{l}
x=-14 \
y=-13 \
z=-15
\end{array}$

Quizplus · Accepted Answer

The augmented matrix directly represents the system of equations where each row corresponds to an equation. The first row represents $x = 14$, the second row represents $y = 13$, and the third row represents $z = 15$.

Write a System of Linear Equations Represented by the Augmented [100140101300115]\left[ \begin{array} { l l l | l } 1 & 0 & 0 & 14 \\ 0 & 1 & 0 & 13 \\ 0 & 0 & 1 & 15 \end{array} \right]​100​010​001​141315​​

Write a System of Linear Equations Represented by the Augmented $\left[ \begin{array} { l l l | l } 1 & 0 & 0 & 14 \\ 0 & 1 & 0 & 13 \\ 0 & 0 & 1 & 15 \end{array} \right]$