Math Question
![Given the system of equations:
\[
\left\{\begin{array}{l}
2 x-3 y-9 z=-19 \\
x+3 z=4 \\
-3 x+y-4 z=-3
\end{array}\right.
\]
(a) Determine the type of system: \( \bigcirc \) inconsistent \( \bigcirc \) dependent
(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.
\[
\begin{array}{l}
x= \\
y= \\
z=
\end{array}
\]](https://d3hlidq5bf9vg0.cloudfront.net/app-server-student/2022/4/5/780acddc-45ae-45ff-b720-00e79fe72cb8.png "Given the system of equations:
\[
\left\{\begin{array}{l}
2 x-3 y-9 z=-19 \\
x+3 z=4 \\
-3 x+y-4 z=-3
\end{array}\right.
\]
(a) Determine the type of system: \( \bigcirc \) inconsistent \( \bigcirc \) dependent
(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.
\[
\begin{array}{l}
x= \\
y= \\
z=
\end{array}
\]")
Solution
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