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

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

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