Let k, h be unknown constants and consider the linear system: X +3y 7z = 8x + 5y 7z 15 x + 7y + hz This system has a unique solution whenever h If h is the (correct) value entered above, then the above system will be consistent for how many value(s) of k? OA. a unique value OB. no values OC. infinitely many values 11 = 634 -3 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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Let k, h be unknown constants and consider the linear system:
X
8x
15 x
+3y
+ 5y
7z
+ 7y + hz
11
7z
|| || ||
=
=
=
6
ܗ ܀
-3
k
This system has a unique solution whenever h
If h is the (correct) value entered above, then the above system will be consistent for how many value(s) of k?
OA. a unique value
OB. no values
OC. infinitely many values
Transcribed Image Text:Let k, h be unknown constants and consider the linear system: X 8x 15 x +3y + 5y 7z + 7y + hz 11 7z || || || = = = 6 ܗ ܀ -3 k This system has a unique solution whenever h If h is the (correct) value entered above, then the above system will be consistent for how many value(s) of k? OA. a unique value OB. no values OC. infinitely many values
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