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Do the three lines 3x₁ - 4x2 = 15, 6x₁ + 13x₂ = -96, and - 3x₁ - 17x2 = 111 have a common point of intersection?

Do the three lines 3x₁ - 4x2 = 15, 6x₁ + 13x₂ = -96, and - 3x₁ - 17x2 = 111 have a common point of intersection?

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.3: Linear Functions And Slope
Problem 98E
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Please solve Linear Algebra problem and show all work.

Do the three lines 3x₁ - 4x₂ = 15, 6x₁ + 13x₂= -96, and - 3x₁ - 17x₂ = 111 have a common point of intersection? Explain. O A. The three lines do not have a common point of intersection. OB. The three lines have at least one common point of intersection. O C. There is not enough information to determine whether the three lines have a common point of intersection.
Transcribed Image Text:Do the three lines 3x₁ - 4x₂ = 15, 6x₁ + 13x₂= -96, and - 3x₁ - 17x₂ = 111 have a common point of intersection? Explain. O A. The three lines do not have a common point of intersection. OB. The three lines have at least one common point of intersection. O C. There is not enough information to determine whether the three lines have a common point of intersection.
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