Consider the system of equations shown below. 2х — 4y + 5z = 10 -7x + 14y + 4z = -35 Зх — 6y + 15 (a) Determine whether the nonhomogeneous system Ax = b is consistent. O consistent O inconsistent (b) If the system is consistent, then write the solution in the form x = X, + 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 1 1
Consider the system of equations shown below. 2х — 4y + 5z = 10 -7x + 14y + 4z = -35 Зх — 6y + 15 (a) Determine whether the nonhomogeneous system Ax = b is consistent. O consistent O inconsistent (b) If the system is consistent, then write the solution in the form x = X, + 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 1 1
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 3CC
Related questions
Question
![Consider the system of equations shown below.
2х —
4y + 5z =
10
-7x + 14y + 4z = -35
бу +
3x -
Z =
15
(a) Determine whether the nonhomogeneous system Ax = b is consistent.
consistent
O inconsistent
(b) If the system is consistent, then write the solution in the form x = X, + 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
1 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F357cccf4-bcd4-43a8-880d-77541ace0e00%2F0476ee3f-94f7-43d0-a7d7-b1e6a5bd7784%2Flcv43d_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the system of equations shown below.
2х —
4y + 5z =
10
-7x + 14y + 4z = -35
бу +
3x -
Z =
15
(a) Determine whether the nonhomogeneous system Ax = b is consistent.
consistent
O inconsistent
(b) If the system is consistent, then write the solution in the form x = X, + 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
1 1
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