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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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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
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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
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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