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System A System B System C 2 e 1: y=-xr+2 3 Line 1: y= -x+3 Line 1: y= -2x+1 2 e 2: 2x+ 3y=6 3 -x-4 2 Line 2: y=x+1 Line 2: y= L2 LI L2 4+ -2 LI -6 -4 -24 -2- -4- L2 LI is system of equations is: This system of equations is: This system of equations is: inconsistent inconsistent inconsistent consistent dependent consistent dependent consistent dependent consistent independent consistent independent consistent independent is means the system has: This means the system has: This means the system has: a unique solution O a unique solution a unique solution Solution: OD Solution: OD Solution: OD

System A System B System C 2 e 1: y=-xr+2 3 Line 1: y= -x+3 Line 1: y= -2x+1 2 e 2: 2x+ 3y=6 3 -x-4 2 Line 2: y=x+1 Line 2: y= L2 LI L2 4+ -2 LI -6 -4 -24 -2- -4- L2 LI is system of equations is: This system of equations is: This system of equations is: inconsistent inconsistent inconsistent consistent dependent consistent dependent consistent dependent consistent independent consistent independent consistent independent is means the system has: This means the system has: This means the system has: a unique solution O a unique solution a unique solution Solution: OD Solution: OD Solution: OD

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 24EQ: Suppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry...
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For each system of linear equations shown below, classify the system as "consistent dependent," "consistent independent," or "inconsistent." Then, choose the best description of its solution. If the system has exactly one solution, give its solution.
System A System B System C 2 x+2 3 -x+3 Line 1: y= - 2x+1 Line 1: y= - Line 1: y= - Line 2: 2x+ 3y= 6 3 Line 2: y= Line 2: y=x+ 1 2*-4 -X. L2 LI 4. L2 -2 -6 -6 +2- +2- -2- -4- -4 L2 LI This system of equations is: This system of equations is: This system of equations is: inconsistent inconsistent inconsistent consistent dependent consistent dependent consistent dependent consistent independent consistent independent consistent independent This means the system has: This means the system has: This means the system has: a unique solution a unique solution O a unique solution Solution: OD Solution: OD Solution: OD no solution no solution no solution infinitely many solutions infinitely many solutions infinitely many solutions 000
Transcribed Image Text:System A System B System C 2 x+2 3 -x+3 Line 1: y= - 2x+1 Line 1: y= - Line 1: y= - Line 2: 2x+ 3y= 6 3 Line 2: y= Line 2: y=x+ 1 2*-4 -X. L2 LI 4. L2 -2 -6 -6 +2- +2- -2- -4- -4 L2 LI This system of equations is: This system of equations is: This system of equations is: inconsistent inconsistent inconsistent consistent dependent consistent dependent consistent dependent consistent independent consistent independent consistent independent This means the system has: This means the system has: This means the system has: a unique solution a unique solution O a unique solution Solution: OD Solution: OD Solution: OD no solution no solution no solution infinitely many solutions infinitely many solutions infinitely many solutions 000
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