7. Find all real values of h such that the system of linear equations 4.x + 7y = h x+ 3y = -1 -x - 5y = 5 is consistent. (Hint: Any solution of the system must, in particular, be a solution of the two equations that do not involve h. You can use this to answer the question without needing to row-reduce an augmented matrix.)

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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7. Find all real values of h such that the system of linear equations
4x + 7y = h
x + 3y = -1
-x - 5y = 5
is consistent. (Hint: Any solution of the system must, in particular, be a solution of the two equations that
do not involve h. You can use this to answer the question without needing to row-reduce an augmented
matrix.)
Transcribed Image Text:7. Find all real values of h such that the system of linear equations 4x + 7y = h x + 3y = -1 -x - 5y = 5 is consistent. (Hint: Any solution of the system must, in particular, be a solution of the two equations that do not involve h. You can use this to answer the question without needing to row-reduce an augmented matrix.)
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