Consider the system of equations shown below. 2x - 4y+ 5z = 6 -21 9 -7x+14y+ 4z = 3x- 6y+ z = (a) Determine whether the nonhomogeneous system Ax = b is consistent. consistent inconsistent (b) If the system is consistent, then write the solution in the form x = xp + xh, where x is a particular solution of Ax = b and x is a solution of Ax = 0. (If the system is inconsistent, enter INCONSISTENT in both matrices.) x = + t ↓ ↑
Consider the system of equations shown below. 2x - 4y+ 5z = 6 -21 9 -7x+14y+ 4z = 3x- 6y+ z = (a) Determine whether the nonhomogeneous system Ax = b is consistent. consistent inconsistent (b) If the system is consistent, then write the solution in the form x = xp + xh, where x is a particular solution of Ax = b and x is a solution of Ax = 0. (If the system is inconsistent, enter INCONSISTENT in both matrices.) x = + t ↓ ↑
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.7: Solving Systems Of Linear And Quadratic Equations
Problem 37PFA
Related questions
Question
![Consider the system of equations shown below.
2x
-
4y+ 5z =
6
-21
9
-7x+14y+ 4z =
3x- 6y+ z =
(a) Determine whether the nonhomogeneous system Ax = b is consistent.
consistent
inconsistent
(b) If the system is consistent, then write the solution in the form x = xp + xh, where x is a particular solution of Ax = b and x is a solution of Ax = 0. (If the system is
inconsistent, enter INCONSISTENT in both matrices.)
x =
+ t
↓ ↑](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb27ad09a-811a-4663-a78e-f7b328b928a0%2F9b13ee88-0368-4085-ac81-19b33637e204%2F2h35ec_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the system of equations shown below.
2x
-
4y+ 5z =
6
-21
9
-7x+14y+ 4z =
3x- 6y+ z =
(a) Determine whether the nonhomogeneous system Ax = b is consistent.
consistent
inconsistent
(b) If the system is consistent, then write the solution in the form x = xp + xh, where x is a particular solution of Ax = b and x is a solution of Ax = 0. (If the system is
inconsistent, enter INCONSISTENT in both matrices.)
x =
+ t
↓ ↑
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781305115545/9781305115545_smallCoverImage.gif)
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
![Intermediate Algebra](https://www.bartleby.com/isbn_cover_images/9780998625720/9780998625720_smallCoverImage.gif)