Write the system of linear equations represented by the augmented matrix.Then use back-substitution to solve.(Use variables x,y,and z. ) $$\left[ \begin{array} { r r r r r }
1 & 9 & - 3 &\vdots& - 39 \
0 & 1 & 2 & \vdots & 0 \
0 & 0 & 1 & \vdots & 2
\end{array} \right]$$
A)x = 4,y = 2,z = -3
B)x = 3,y = -4,z = 2
C)x = 3,y = 4,z = -2
D)x = -18,y = -1,z = 4
E)x = -4,y = 3,z = 2

Question

Write the system of linear equations represented by the augmented matrix.Then use back-substitution to solve.(Use variables x,y,and z. ) $$\left[ \begin{array} { r r r r r } 
1 & 9 & - 3 &\vdots& - 39 \
0 & 1 & 2 & \vdots & 0 \
0 & 0 & 1 & \vdots & 2
\end{array} \right]$$
A)x = 4,y = 2,z = -3
B)x = 3,y = -4,z = 2
C)x = 3,y = 4,z = -2
D)x = -18,y = -1,z = 4
E)x = -4,y = 3,z = 2

Quizplus · Accepted Answer

The augmented matrix represents the system of equations: x + 9y - 3z = -39, y + 2z = 0, z = 2. Using back-substitution, z = 2, y + 2(2) = 0 gives y = -4, and x + 9(-4) - 3(2) = -39 gives x = 3.

Write the System of Linear Equations Represented by the Augmented [19−3⋮−39012⋮0001⋮2]\left[ \begin{array} { r r r r r } 1 & 9 & - 3 &\vdots& - 39 \\0 & 1 & 2 & \vdots & 0 \\0 & 0 & 1 & \vdots & 2\end{array} \right]​100​910​−321​⋮⋮⋮​−3902​​

Write the System of Linear Equations Represented by the Augmented $\left[ \begin{array} { r r r r r } 1 & 9 & - 3 &\vdots& - 39 \\0 & 1 & 2 & \vdots & 0 \\0 & 0 & 1 & \vdots & 2\end{array} \right]$