Write a system of linear equations represented by the augmented matrix.
-$$\left[ \begin{array} { r r r | r }
4 & 9 & - 4 & - 12 \
9 & 2 & 7 & 6 \
4 & - 2 & 2 & - 1
\end{array} \right]$$
A) $4 x + 9 y - 4 z = 12$
$9 x + 2 y + 7 z = - 6$
$4 x - 2 y + 2 z = 1$
B) $4 x + 9 y + 4 z = - 12$
$9 x + 2 y - 2 z = 6$
$- 4 x + 7 y + 2 z = - 1$
C) $4 x + 9 y - 4 z = - 12$
$9 x + 2 y + 7 z = 6$
$4 x - 2 y + 2 z = - 1$
D) $4 x = - 12$
$2 y = 6$
$2 z = - 1$

Question

Write a system of linear equations represented by the augmented matrix.
-$$\left[ \begin{array} { r r r | r } 
4 & 9 & - 4 & - 12 \
9 & 2 & 7 & 6 \
4 & - 2 & 2 & - 1
\end{array} \right]$$
A) $4 x + 9 y - 4 z = 12$
$9 x + 2 y + 7 z = - 6$
$4 x - 2 y + 2 z = 1$
B) $4 x + 9 y + 4 z = - 12$
$9 x + 2 y - 2 z = 6$
$- 4 x + 7 y + 2 z = - 1$
C) $4 x + 9 y - 4 z = - 12$
$9 x + 2 y + 7 z = 6$
$4 x - 2 y + 2 z = - 1$
D) $4 x = - 12$
$2 y = 6$
$2 z = - 1$

Quizplus · Accepted Answer

The correct system of linear equations is directly read from the augmented matrix, with each row representing a linear equation and the column before the vertical bar representing the coefficients of $x, y, z$ in order, and the column after the bar representing the constants on the right side of the equations.

Write a System of Linear Equations Represented by the Augmented [49−4−1292764−22−1]\left[ \begin{array} { r r r | r } 4 & 9 & - 4 & - 12 \\9 & 2 & 7 & 6 \\4 & - 2 & 2 & - 1\end{array} \right]​494​92−2​−472​−126−1​​

Write a System of Linear Equations Represented by the Augmented $\left[ \begin{array} { r r r | r } 4 & 9 & - 4 & - 12 \\9 & 2 & 7 & 6 \\4 & - 2 & 2 & - 1\end{array} \right]$