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Prove that the system 3x + 4y + 5z =a, 4x + 5y + 6z = b and 5x + 6y + 7: solution unless z + c = 2b

Prove that the system 3x + 4y + 5z =a, 4x + 5y + 6z = b and 5x + 6y + 7: solution unless z + c = 2b

Advanced Engineering Mathematics
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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Prove that the system 3x + 4y + 5z =a, 4x + 5y + 6z = b and 5x + 6y + 7z = c does not have a solution unless z + c = 2b
Transcribed Image Text:Prove that the system 3x + 4y + 5z =a, 4x + 5y + 6z = b and 5x + 6y + 7z = c does not have a solution unless z + c = 2b
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