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. 3x, +3x2 + 6x3 = 12 - 9x, - 9x2 - 18x3 = - 36 - 5x2 + 15x3 = 10 3x, + 3x2 + 6x3 = 0 - 9x, - 9x2 - 18x3 = 0 - 5x2 + 15x3 = 0 X1 Describe the solution set, x =| X2 of the first system of equations in parametric vector form. Select the correct choice below and fill in the answer box(es) within your choice. X3 (Type an integer or fraction for each matrix element.) O A. X= Ô B. X=X, O C. X= + X3 O D. x=X2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 47RE
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1.5.17
Suppose the solution set of a certain system of linear equations can be described as x, = 5+.
4x3, X2 = - 6 – 7x3, with x3 free. Use vectors to describe this set as a line in R°.
%D
Geometrically, the solution set is a line through || parallel to
Transcribed Image Text:1.5.17 Suppose the solution set of a certain system of linear equations can be described as x, = 5+. 4x3, X2 = - 6 – 7x3, with x3 free. Use vectors to describe this set as a line in R°. %D Geometrically, the solution set is a line through || parallel to
1.5.19
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.
3x, +3x2 + 6x3 = 12
- 9x, - 9X2 - 18X3 :
- 5x2 + 15x3 = 10
3x, + 3x2 + 6x3 = 0
- 9x, - 9x2 - 18x3 = 0
- 5x2 + 15x3 = 0
%3D
-36
X1
Describe the solution set, x = X2
of the first system of equations in parametric vector form. Select the correct choice below and fill in the answer box(es) within your choice.
X3
(Type an integer or fraction for each matrix element.)
O A. x=
B. X=X,
O C. x=
+ X3|
O D. X=X2
+ X3
Transcribed Image Text:1.5.19 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. 3x, +3x2 + 6x3 = 12 - 9x, - 9X2 - 18X3 : - 5x2 + 15x3 = 10 3x, + 3x2 + 6x3 = 0 - 9x, - 9x2 - 18x3 = 0 - 5x2 + 15x3 = 0 %3D -36 X1 Describe the solution set, x = X2 of the first system of equations in parametric vector form. Select the correct choice below and fill in the answer box(es) within your choice. X3 (Type an integer or fraction for each matrix element.) O A. x= B. X=X, O C. x= + X3| O D. X=X2 + X3
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