O Week 2: Systems of Linear Equations Classifying systems of linear equations from graphs 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. Line 1: y = 3x +3 System A Line 2: -3x+y=3 -6 61x Explanation This system of equations is: 11 O consistent dependent O consistent independent O inconsistent This means the system has: O a unique solution Solution: O infinitely many solutions O no solution Check System B Line 1: y = 3x + 1 Line 2: y = 3x-1 -6 b Ty 11/ This system of equations is: O consistent dependent O consistent independent. O inconsistent This means the system has: O a unique solution Solution: O infinitely many solutions Ono solution System C Line 1: y = 2x+6 Line 2: y = -x 12 1₂ LI This system of equations is: O consistent dependent O consistent independent O inconsistent This means the system has: O a unique solution Solution: ( 1/5 O infinitely many solutions O no solution Jocelyn V Español As V Ⓒ2024 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center
O Week 2: Systems of Linear Equations Classifying systems of linear equations from graphs 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. Line 1: y = 3x +3 System A Line 2: -3x+y=3 -6 61x Explanation This system of equations is: 11 O consistent dependent O consistent independent O inconsistent This means the system has: O a unique solution Solution: O infinitely many solutions O no solution Check System B Line 1: y = 3x + 1 Line 2: y = 3x-1 -6 b Ty 11/ This system of equations is: O consistent dependent O consistent independent. O inconsistent This means the system has: O a unique solution Solution: O infinitely many solutions Ono solution System C Line 1: y = 2x+6 Line 2: y = -x 12 1₂ LI This system of equations is: O consistent dependent O consistent independent O inconsistent This means the system has: O a unique solution Solution: ( 1/5 O infinitely many solutions O no solution Jocelyn V Español As V Ⓒ2024 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.3: Elimination Using Addition And Subtraction
Problem 31PPS
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Transcribed Image Text:O Week 2: Systems of Linear Equations
Classifying systems of linear equations from graphs
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.
Line 1: y = 3x +3
System A
Line 2: -3x+y=3
-6
61x
Explanation
This system of equations is:
11
O consistent dependent
O consistent independent
O inconsistent
This means the system has:
O a unique solution
Solution:
O infinitely many solutions
O no solution
Check
System B
Line 1: y = 3x + 1
Line 2: y = 3x-1
-6
b
Ty
11/
This system of equations is:
O consistent dependent
O consistent independent.
O inconsistent
This means the system has:
O a unique solution
Solution:
O infinitely many solutions
Ono solution
System C
Line 1: y = 2x+6
Line 2: y = -x
12
1₂
LI
This system of equations is:
O consistent dependent
O consistent independent
O inconsistent
This means the system has:
O a unique solution
Solution: (
1/5
O infinitely many solutions
O no solution
Jocelyn V
Español
As
V
Ⓒ2024 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center
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