3x₁ + 3x₂ + 6x3 = 12 - 6x₁ - 6x₂ - 12x3 = -24 - 7x2-21x3 = 14 3x₁ + 3x₂ + 6x3 = 0 - 6x₁ - 6x2 - 12x3 = 0 - 7x2-21x3 = 0

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.4: Solving Nonlinear Systems Of Equations
Problem 63E
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Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of
equations below.
3x₁ + 3x2 + 6x3 = 12
- 6x₁ - 6x₂ - 12x3 = -24
- 7x2-21x3 = 14
Describe the solution set, x =
OC. X=
your choice.
(Type an integer or fraction for each matrix element.)
O A. x=
O B. X=X₂
O D. X=X₂
2
-2
0
+ X₂
+ X3
3x₁ + 3x₂ + 6x3 = 0
- 6x₁ - 6x₂ - 12x3 = 0
- 7x₂ - 21x3 = 0
1
-3
1
G
X₁
of the first system of equations in parametric vector form. Select the correct choice below and fill in the answer box(es) within
X2
X3
Transcribed Image Text:Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below. 3x₁ + 3x2 + 6x3 = 12 - 6x₁ - 6x₂ - 12x3 = -24 - 7x2-21x3 = 14 Describe the solution set, x = OC. X= your choice. (Type an integer or fraction for each matrix element.) O A. x= O B. X=X₂ O D. X=X₂ 2 -2 0 + X₂ + X3 3x₁ + 3x₂ + 6x3 = 0 - 6x₁ - 6x₂ - 12x3 = 0 - 7x₂ - 21x3 = 0 1 -3 1 G X₁ of the first system of equations in parametric vector form. Select the correct choice below and fill in the answer box(es) within X2 X3
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