Consider the system of linear equations: X1 + kx2 2x1 + 4x2 = k = 1 4x1 + 8x2 = 4 where k e R is a parameter. Find the value of k for which the system is consistent. [Please enter your answer numerically in decimal format. You will be marked correct as long as what you enter is within 0.25 of the correct answer. So for example, if the correct answer is 6.78 then any input that lies between between 6.53 and 7.03 will be marked as correct.) Answer:

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 90E: Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the...
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Consider the system of linear equations:
X1 + kx2
2x1 + 4x2
= 1
= k
4x1 + 8x2
= 4
where k e Ris a parameter. Find the value of k for which the system is consistent.
[Please enter your answer numerically in decimal format. You will be marked correct as long as what you enter is within 0.25 of the correct
answer. So for example, if the correct answer is 6.78 then any input that lies between between 6.53 and 7.03 will be marked as correct.]
Answer:
Transcribed Image Text:Consider the system of linear equations: X1 + kx2 2x1 + 4x2 = 1 = k 4x1 + 8x2 = 4 where k e Ris a parameter. Find the value of k for which the system is consistent. [Please enter your answer numerically in decimal format. You will be marked correct as long as what you enter is within 0.25 of the correct answer. So for example, if the correct answer is 6.78 then any input that lies between between 6.53 and 7.03 will be marked as correct.] Answer:
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