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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

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.1: Systems Of Equations
Problem 3E
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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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