Question

Solve the system of equations using an augmented matrix.\\ $\begin{cases} 2x - 3y - 9z = 22\\ x + 3z = -7\\ -3x + y - 4z = 9 \end{cases}$\\(a) Determine the type of system: \\circ dependent \\circ inconsistent\\(b) If your answer is dependent in (a), find the complete solution.\\Write $x$, $y$ as functions of $t$, where $z = t$.\\If your answer is inconsistent, write DNE for all three variables.\\$x =$\\$y =$\\$z = $

          Solve the system of equations using an augmented matrix.\\
$\begin{cases} 2x - 3y - 9z = 22\\ x + 3z = -7\\ -3x + y - 4z = 9 \end{cases}$\\(a) Determine the type of system: \\circ dependent \\circ inconsistent\\(b) If your answer is dependent in (a), find the complete solution.\\Write $x$, $y$ as functions of $t$, where $z = t$.\\If your answer is inconsistent, write DNE for all three variables.\\$x =$\\$y =$\\$z = $

Solve the system of equations using an augmented matrix.

2x - 3y - 9z = 22
x + 3z = -7
-3x + y - 4z = 9
(a) Determine the type of system:
circ dependent
circ inconsistent
(b) If your answer is dependent in (a), find the complete solution.
Write x, y as functions of t, where z = t.
If your answer is inconsistent, write DNE for all three variables.
x =
y =
z =

Added by Anthony L.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert James Kiss

07/14/2022

Step 1

Step 1: The augmented matrix for the system of equations is: $$ \begin{bmatrix} 2 & -3 & -9 & 22 \\ 1 & 0 & 3 & -7 \\ -3 & 1 & -4 & 9 \end{bmatrix} $$ Show more…

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Solve the system of equations using an augmented matrix. { 2x-3y-9z = 22 x+3z=-7 -3x+y-4z = 9 (a) Determine the type of system: dependent inconsistent (b) If your answer is dependent in (a), find the complete solution. Write x, y as functions of t, where z = t. If your answer is inconsistent, write DNE for all three variables. x= y= z=