If the system 6x 2x + 8y 14x - 4y + 5z 62 hz 28y + T = = = has infinitely many solutions, then k = 08 4 8 k ४ 8 OB and h =
If the system 6x 2x + 8y 14x - 4y + 5z 62 hz 28y + T = = = has infinitely many solutions, then k = 08 4 8 k ४ 8 OB and h =
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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![**Question 5. Score: 0/1**
If the system
\[
\begin{cases}
6x - 4y + 5z = 4 \\
2x + 8y - 6z = 8 \\
14x - 28y + hz = k
\end{cases}
\]
has infinitely many solutions, then \( k = \) [ ] and \( h = \) [ ].
**Instructions:**
For the system of equations to have infinitely many solutions, the equations must be dependent. Analyze the relationships between the coefficients of the equations to determine the values of \( k \) and \( h \). Fill in the correct values in the provided boxes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F562052f7-9cce-464a-96db-8604c772ebf3%2F0c9b3e31-2290-458a-bbf1-6179e0a0e722%2Fzz44c8r_processed.png&w=3840&q=75)
Transcribed Image Text:**Question 5. Score: 0/1**
If the system
\[
\begin{cases}
6x - 4y + 5z = 4 \\
2x + 8y - 6z = 8 \\
14x - 28y + hz = k
\end{cases}
\]
has infinitely many solutions, then \( k = \) [ ] and \( h = \) [ ].
**Instructions:**
For the system of equations to have infinitely many solutions, the equations must be dependent. Analyze the relationships between the coefficients of the equations to determine the values of \( k \) and \( h \). Fill in the correct values in the provided boxes.
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