In Exercises 27-28, what condition, if any, must a, b, and c satisfy for the linear system to be consistent? 27. x + 3y - z = a x + y + 2z = b 2y - 3z = c 28. x + 3y +z = a -x - 2y + z = b 3x + 7y -z = C

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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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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In Exercises 27-28, what condition, if any, must a, b, and c
satisfy for the linear system to be consistent?
27. x + 3y - z = a
x + y + 2z = b
2y3z = c
28. x + 3y + z = a
-x - 2y + z = b
3x + 7y -z = C
Transcribed Image Text:In Exercises 27-28, what condition, if any, must a, b, and c satisfy for the linear system to be consistent? 27. x + 3y - z = a x + y + 2z = b 2y3z = c 28. x + 3y + z = a -x - 2y + z = b 3x + 7y -z = C
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