3- Using echelon form solve the following linear system o equations (c) 3x₁ + 6x₂ x₁ + 3x₂x₂ - 4x4 = x₁ - x₂ + x3 + 2x4 = 2x₁ + 3x₂ = - - 3x4= 3 (e) x₁ + (d) x₁ + 2x₂ + 2x3 + 5x4 = 11 2x₁ + 4x₂ + 2x3 + 8x4 = 14 x₁ + 3x₂ + 4x3 + 8x4 = 19 x₁ - x₂ + x3 x₂ + 2x3 + 2x₁ + 3x₂ + 6x3 + 3x₂ + 4x3 + X₂ X₂ - X₁ -12 8 8 6x4 = 19x4 15x4 = 6x₁ = = 2 11 36 28 -12

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.4: Elimination Using Multiplication
Problem 2AGP
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Question
3- Using echelon form solve the following linear system of
equations
- 3x4= = 3
x₁ + 3x₂x3 - 4x4 = -12
x₁ - x₂ + x3 + 2x4 =
8
2x₁ + 3x₂
=
8
(c) 3x₁ + 6x₂
(d) x₁ + 2x₂ + 2x3 + 5x4 = 11
2x₁ + 4x₂ + 2x3 +
8x4 =
14
x₁ + 3x₂ + 4x3 + 8x4
= 19
x₁ - x₂ + x3
2
(e) x₁ +
x₂ + 2x3 +
2x₁ + 3x₂ + 6x3 +
3x₂ + 4x3 +
X1 — Х2 - X3 -
6x4 =
11
19x4 =
36
15x4 =
28
6х4 = -12
Transcribed Image Text:3- Using echelon form solve the following linear system of equations - 3x4= = 3 x₁ + 3x₂x3 - 4x4 = -12 x₁ - x₂ + x3 + 2x4 = 8 2x₁ + 3x₂ = 8 (c) 3x₁ + 6x₂ (d) x₁ + 2x₂ + 2x3 + 5x4 = 11 2x₁ + 4x₂ + 2x3 + 8x4 = 14 x₁ + 3x₂ + 4x3 + 8x4 = 19 x₁ - x₂ + x3 2 (e) x₁ + x₂ + 2x3 + 2x₁ + 3x₂ + 6x3 + 3x₂ + 4x3 + X1 — Х2 - X3 - 6x4 = 11 19x4 = 36 15x4 = 28 6х4 = -12
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