System of Linear Equation No. 1 Given: More equations than variables X - y + 2z = 4 + 3z = 6 2x - 3y + 5z = 4 3x +2y - z = 1

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter5: Systems Of Linear Equations
Section5.1: Solve Systems Of Equations By Graphing
Problem 69E: In a system of linear equations, the two equations have the same slope. Describe the possible...
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System of Linear Equation No. 1
Given: More equations than
variables
х -у +2z %3D 4
+ 3z
= 6
2х- Зу + 5z %3D 4
3x +2y - z = 1
System of Linear Equations No. 2
Given: More variables than
equations
2х +4y -2z %3D 0
Зх +5y
= 1
System of Linear Equations No. 3
Given: Number of Equations and variables
are the same
2x + y - z + 2w = -6
Зх +4у
+ w = 1
X +5y +2z +6w = -3
5x +2y - z - w = 3
Transcribed Image Text:System of Linear Equation No. 1 Given: More equations than variables х -у +2z %3D 4 + 3z = 6 2х- Зу + 5z %3D 4 3x +2y - z = 1 System of Linear Equations No. 2 Given: More variables than equations 2х +4y -2z %3D 0 Зх +5y = 1 System of Linear Equations No. 3 Given: Number of Equations and variables are the same 2x + y - z + 2w = -6 Зх +4у + w = 1 X +5y +2z +6w = -3 5x +2y - z - w = 3
1. Rewrite each given systems of linear equation
into its augmented form.
2. Perform the Gauss-Jordan Elimination using
elementary row operation.
3. Which of the above given problem has:
A. no solution,one solution and many solutions?
4. What is the solution set for the systems that
have solutions.
5. What generalization can you make on the
relationship between the number of rows and
number of variables?
Transcribed Image Text:1. Rewrite each given systems of linear equation into its augmented form. 2. Perform the Gauss-Jordan Elimination using elementary row operation. 3. Which of the above given problem has: A. no solution,one solution and many solutions? 4. What is the solution set for the systems that have solutions. 5. What generalization can you make on the relationship between the number of rows and number of variables?
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