Find the complete solution of the linear system, or show that it is inconsistent. (If the system has infinitely many solutions, express your answer in terms of t, where x = x(t), y = t, and z = z(t). If there is no solution, enter NO SOLUTION.) 2x + 4y - z = 13 x + 2y + 4z = 11 x + 2y 2z = 5 (х, у, 2) %3D
Find the complete solution of the linear system, or show that it is inconsistent. (If the system has infinitely many solutions, express your answer in terms of t, where x = x(t), y = t, and z = z(t). If there is no solution, enter NO SOLUTION.) 2x + 4y - z = 13 x + 2y + 4z = 11 x + 2y 2z = 5 (х, у, 2) %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Problem 13:**
Find the complete solution of the linear system, or show that it is inconsistent. (If the system has infinitely many solutions, express your answer in terms of \( t \), where \( x = x(t) \), \( y = t \), and \( z = z(t) \). If there is no solution, enter NO SOLUTION.)
\[
\begin{cases}
2x + 4y - z = 13 \\
x + 2y + 4z = 11 \\
x + 2y - 2z = 5
\end{cases}
\]
\((x, y, z) = \left( \underline{\hspace{1cm}} \right)\)
*[Note: There is a red cross next to the answer box, suggesting that the existing input might be incorrect.]*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F816a2da0-337a-48cf-ad05-f3feadb237d1%2Fccb80b42-28dd-4766-96f0-8e348dba04b8%2F2q6ymr_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 13:**
Find the complete solution of the linear system, or show that it is inconsistent. (If the system has infinitely many solutions, express your answer in terms of \( t \), where \( x = x(t) \), \( y = t \), and \( z = z(t) \). If there is no solution, enter NO SOLUTION.)
\[
\begin{cases}
2x + 4y - z = 13 \\
x + 2y + 4z = 11 \\
x + 2y - 2z = 5
\end{cases}
\]
\((x, y, z) = \left( \underline{\hspace{1cm}} \right)\)
*[Note: There is a red cross next to the answer box, suggesting that the existing input might be incorrect.]*
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