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. O c. (A), (B) and (C) are equivalent (B) and (C) are equivalent O d. (A) and (C) are equivalent O e. (A) and (B) 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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.2: Substitution
Problem 4CYU
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Question
Consider the three systems of linear equations:
4x1 + 6x2 + 2x3 + 8x4
6x1 + 9x2 + 16x4
2x1 + 3x2 - 2x3 +7x4
(A)
Select one:
O a. none of the others
O b.
(A), (B) and (C) are equivalent
O c.
(B) and (C) are equivalent
O d.
(A) and (C) are equivalent
O e. (A) and (B) 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
Transcribed Image Text:Consider the three systems of linear equations: 4x1 + 6x2 + 2x3 + 8x4 6x1 + 9x2 + 16x4 2x1 + 3x2 - 2x3 +7x4 (A) Select one: O a. none of the others O b. (A), (B) and (C) are equivalent O c. (B) and (C) are equivalent O d. (A) and (C) are equivalent O e. (A) and (B) 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
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