Consider the system of equations shown below. - 3w 2x + 16y - 2z = −4 -W + 5x 3w - - 14y+18z = 37 x+14y+2z = 1 (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 xp 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.) 16 2 14 18 x = + t 14 2 ×

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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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.
-
3w 2x + 16y - 2z = −4
-W + 5x
3w
-
-
14y+18z = 37
x+14y+2z = 1
(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 xp 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.)
16
2
14
18
x =
+ t
14
2
×
Transcribed Image Text:Consider the system of equations shown below. - 3w 2x + 16y - 2z = −4 -W + 5x 3w - - 14y+18z = 37 x+14y+2z = 1 (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 xp 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.) 16 2 14 18 x = + t 14 2 ×
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