Solve the following system of linear equations by writing its corresponding RREF, and then write its solutions as a sum of a particular solution + linear combination of basic solutions. x₁ + x2 + x3 x4 3x1 +5x22x3 + x4 -3x₁ - 7x2 +7x35x4 x1 + 3x2 - 4x3 + 3x4 = 3 = 1 = 7 = -5.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section: Chapter Questions
Problem 16MCQ
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Solve the following system of linear equations by writing its corresponding
RREF, and then write its solutions as a sum of a particular solution + linear combination
of basic solutions.
x₁ + x2 + x3 x4
3x1 +5x22x3 + x4
|-3x₁ - 7x₂ + 7x3 = 5x4
(x1+3x2 - 4x3 + 3x4
=
1
= 7
= -5.
Transcribed Image Text:Solve the following system of linear equations by writing its corresponding RREF, and then write its solutions as a sum of a particular solution + linear combination of basic solutions. x₁ + x2 + x3 x4 3x1 +5x22x3 + x4 |-3x₁ - 7x₂ + 7x3 = 5x4 (x1+3x2 - 4x3 + 3x4 = 1 = 7 = -5.
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