Consider the three systems of linear equations: 4x1 + 6x2 + 2x3 + 8x4 6x₁ + 9x2 + 16x4 2x1 + 3x22x3 + 7x4 (A) Select one: O a. none of the others O b. (A) and (B) are equivalent O c. (A) and (C) are equivalent O d. (B) and (C) are equivalent O e. (A), (B) and (C) are equivalent = = = 2 4 2 4x1 + 6x2 + 2x3 + 8x4 (B) 2x1 + 3x2 + 4x3 + x4 2x1 + 3x22x3 +7x4 2 0 = 2 = = (C) 2x1 + 3x2 + x3 + 4x4 3x3 - 3x4 -3x3 + 3x4 = || || || = 1 -1 1

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter5: Solving Systems Of Linear Equations
Section: Chapter Questions
Problem 9CA
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Question
Consider the three systems of linear equations:
4x₁ + 6x2 + 2x3 + 8x4
6x₁ + 9x2 + 16x4
2x1 + 3x2 - 2x3 + 7x4
Select one:
O a. none of the others
b.
(A)
O c.
(A) and (B) are equivalent
(A) and (C) are equivalent
d.
(B) and (C) are equivalent
e. (A), (B) and (C) are equivalent
= 2
4
2
=
=
4x₁ + 6x2 + 2x3 + 8x4
(B) 2x₁ + 3x2 + 4x3 + x4
2x1 + 3x2 - 2x3 + 7x4
2
= 0
2
=
|| ||
=
(C)
2x1 + 3x2 + x3 + 4x4
3x3 - 3x4
-3x3 + 3x4
=
=
=
1
-1
1
Transcribed Image Text:Consider the three systems of linear equations: 4x₁ + 6x2 + 2x3 + 8x4 6x₁ + 9x2 + 16x4 2x1 + 3x2 - 2x3 + 7x4 Select one: O a. none of the others b. (A) O c. (A) and (B) are equivalent (A) and (C) are equivalent d. (B) and (C) are equivalent e. (A), (B) and (C) are equivalent = 2 4 2 = = 4x₁ + 6x2 + 2x3 + 8x4 (B) 2x₁ + 3x2 + 4x3 + x4 2x1 + 3x2 - 2x3 + 7x4 2 = 0 2 = || || = (C) 2x1 + 3x2 + x3 + 4x4 3x3 - 3x4 -3x3 + 3x4 = = = 1 -1 1
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