Solve the system of equations using matrices. Use the Gaussian elimination method with back-substitution. x + y z = -5 3x y + z = -7 -x + 3y - 2z = 1 Use the Gaussian elimination method to obtain the matrix in row-echelon form. Choose the correct answer below. OA. O C. ! 1 1 - 1 - 5 0 1 - 1-2 0 0 1 4 100-5 1 0 -2 4 - 1 - 1 1 1 ... The solution set is {10}. (Simplify your answers.) O B. O D. -1 -1 0 - 1 0 0 1 -5 1 -2 - 1 4 1 1-5 1 01-2 1 0 0 4 1

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.CT: Chapter Test
Problem 8CT
icon
Related questions
Question

Please specify the answer for each step when answering the question and draw a circle around it so that I can understand. If possible, write clearly for me if you write by hand so that I can understand. Thank you for understanding and I appreciate you.

Solve the system of equations using matrices. Use the Gaussian elimination method with back-substitution.
x + y
z = -5
3x y + z = -7
- x + 3y - 2z =
O A.
Use the Gaussian elimination method to obtain the matrix in row-echelon form. Choose the correct answer below.
1 1
01
- 1
00 1
- 1
- 5
- 2
4
1
100 - 5
- 1 1 0 -2
- 1 1 1
4
The solution set is {(D)}.
(Simplify your answers.)
- 1
0
0
1 1
01
0 0
- 1
- 1
0
- 5
- 2
1
1
1
- 1
- 1
- 1
4
5
- 2
4
Transcribed Image Text:Solve the system of equations using matrices. Use the Gaussian elimination method with back-substitution. x + y z = -5 3x y + z = -7 - x + 3y - 2z = O A. Use the Gaussian elimination method to obtain the matrix in row-echelon form. Choose the correct answer below. 1 1 01 - 1 00 1 - 1 - 5 - 2 4 1 100 - 5 - 1 1 0 -2 - 1 1 1 4 The solution set is {(D)}. (Simplify your answers.) - 1 0 0 1 1 01 0 0 - 1 - 1 0 - 5 - 2 1 1 1 - 1 - 1 - 1 4 5 - 2 4
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning