Consider the following system of linear equations,x1 + 2x2 = b1 2x1 + 4x2 = b2 3x1 + 7x2 = b3 3x1 + 9x2 = b4 Which one of the following conditions ensures that a solution exists for the above system?

Question

Consider the following system of linear equations,x1 + 2x2 = b1 2x1 + 4x2 = b2 3x1 + 7x2 = b3 3x1 + 9x2 = b4 Which one of the following conditions ensures that a solution exists for the above system?

TuteeHUB · Accepted Answer

b3 = 2b1 and 6b1 – 3b3 + b4 = 0

TuteeHUB · Answer

b2 = 2b1 and 6b1 – 3b3 + b4 = 0

TuteeHUB · Answer

b2 = 2b1 and 3b1 – 6b3 + b4 = 0

TuteeHUB · Answer

b3 = 2b1 and 3b1 – 6b3 + b4 = 0

1.	Consider the following system of linear equations,x1 + 2x2 = b1 2x1 + 4x2 = b2 3x1 + 7x2 = b3 3x1 + 9x2 = b4 Which one of the following conditions ensures that a solution exists for the above system?
A.	b2 = 2b1 and 6b1 – 3b3 + b4 = 0
B.	b3 = 2b1 and 6b1 – 3b3 + b4 = 0
C.	b2 = 2b1 and 3b1 – 6b3 + b4 = 0
D.	b3 = 2b1 and 3b1 – 6b3 + b4 = 0
Answer» B. b3 = 2b1 and 6b1 – 3b3 + b4 = 0

Consider the following system of linear equations,x1 + 2x2 = b1 2x1 + 4x2 = b2 3x1 + 7x2 = b3 3x1 + 9x2 = b4 Which one of the following conditions ensures that a solution exists for the above system?

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