For the following system to be consistent,4x+5y-3z = 3-22x+1y+kz-9x+3y-8z=-14= -4we must have, k #

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Answered: For the following system to be…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

For the following system to be consistent,
4x+5y-3z = 3
-22x+1y+kz
-9x+3y-8z
=-14
= -4
we must have, k #

Expert Solution

Step 1: The given equation are:

$table row cell italic 4 x italic plus italic 5 y italic minus italic 3 z end cell italic equals italic 3 row cell italic minus italic 22 x italic plus y italic plus k z end cell italic equals cell italic minus italic 14 end cell row cell italic minus italic 9 x italic plus italic 3 y italic minus italic 8 z end cell italic equals cell italic minus italic 4 end cell end table$