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In each of the following equation as a line in the plane. For each system, graph the lines and determine geometrically the number of solutions. (a) x₁ + x₂ = 4 (c) (b) x₁ + 2x2 = 4 -2x14x2 = 4 X₂ = 3 (d) x₁ + x₂ = 1 X-X2=2 2x1 - x₂ = 3 -4x₁ + 2x₂=-6 x₁ - x₂ = 1 -x₁ + 3x₂ = 3

In each of the following equation as a line in the plane. For each system, graph the lines and determine geometrically the number of solutions. (a) x₁ + x₂ = 4 (c) (b) x₁ + 2x2 = 4 -2x14x2 = 4 X₂ = 3 (d) x₁ + x₂ = 1 X-X2=2 2x1 - x₂ = 3 -4x₁ + 2x₂=-6 x₁ - x₂ = 1 -x₁ + 3x₂ = 3

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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sys 3. In each of the following systems, interpret each equation as a line in the plane. For each system, graph the lines and determine geometrically the number of solutions. (a) x₁ + x₂ = 4 x₁ - x₂ = 2 2x₁ - x₂ = 3 -4x1 + 2x₂ = -6 (c) (b) X₂ = 3 (d) x₁ + 2x₂ = 4 -2x₁ = 4x₂ = 4 x₁ + x₂ = 1 - x₁ - x₂ = 1 -x₁ + 3x₂ = 3
Transcribed Image Text:sys 3. In each of the following systems, interpret each equation as a line in the plane. For each system, graph the lines and determine geometrically the number of solutions. (a) x₁ + x₂ = 4 x₁ - x₂ = 2 2x₁ - x₂ = 3 -4x1 + 2x₂ = -6 (c) (b) X₂ = 3 (d) x₁ + 2x₂ = 4 -2x₁ = 4x₂ = 4 x₁ + x₂ = 1 - x₁ - x₂ = 1 -x₁ + 3x₂ = 3
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