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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
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. 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 ↓ ↑
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 ↓ ↑
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