For each system of linear equations shown below, classify the syst skip to Main Content dependent," "consistent independent," or "inconsistent." Then, choose the best description of its solution. If the system has exactly one solution, give its suradon. O Week 2: Systems of Linear Equations Classifying systems of linear equations from graphs Line 1: y=-2x+3 Line 2: y = 1 9 ---x--- 6 Explanation ₂ 12 LI This system of equations is: O inconsistent O consistent dependent O consistent independent This means the system has: O a unique solution Solution: O no solution O infinitely many solutions Check Line 1: y = - 3 Line 2: x+3y=3 12 21 This system of equations is: O inconsistent O consistent dependent O consistent independent This means the system has: O a unique solution Solution: ( Ono solution O infinitely many solutions Line 1: y=- Line 2: y=- 12 -6 LI 4 3 x 4 This system of equations is: O inconsistent O consistent dependent O consistent independent This means the system has: O a unique solution Solution: O no solution O infinitely many solutions X I 0/5 Jocelyn V Español ? 圜 □ 留 □ As Ⓒ2024 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center
For each system of linear equations shown below, classify the syst skip to Main Content dependent," "consistent independent," or "inconsistent." Then, choose the best description of its solution. If the system has exactly one solution, give its suradon. O Week 2: Systems of Linear Equations Classifying systems of linear equations from graphs Line 1: y=-2x+3 Line 2: y = 1 9 ---x--- 6 Explanation ₂ 12 LI This system of equations is: O inconsistent O consistent dependent O consistent independent This means the system has: O a unique solution Solution: O no solution O infinitely many solutions Check Line 1: y = - 3 Line 2: x+3y=3 12 21 This system of equations is: O inconsistent O consistent dependent O consistent independent This means the system has: O a unique solution Solution: ( Ono solution O infinitely many solutions Line 1: y=- Line 2: y=- 12 -6 LI 4 3 x 4 This system of equations is: O inconsistent O consistent dependent O consistent independent This means the system has: O a unique solution Solution: O no solution O infinitely many solutions X I 0/5 Jocelyn V Español ? 圜 □ 留 □ As Ⓒ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
Section: Chapter Questions
Problem 6SGR
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Question
Transcribed Image Text:For each system of linear equations shown below, classify the syst skip to Main Content dependent," "consistent independent," or "inconsistent." Then, choose the
best description of its solution. If the system has exactly one solution, give its suradon.
O Week 2: Systems of Linear Equations
Classifying systems of linear equations from graphs
Line 1: y=-2x+3
Line 2: y =
1
9
---x---
6
Explanation
₂
12
LI
This system of equations is:
O inconsistent
O consistent dependent
O consistent independent
This means the system has:
O a unique solution
Solution:
O no solution
O infinitely many solutions
Check
Line 1: y = -
3
Line 2: x+3y=3
12
21
This system of equations is:
O inconsistent
O consistent dependent
O consistent independent
This means the system has:
O a unique solution
Solution: (
Ono solution
O infinitely many solutions
Line 1: y=-
Line 2: y=-
12
-6
LI
4
3
x
4
This system of equations is:
O inconsistent
O consistent dependent
O consistent independent
This means the system has:
O a unique solution
Solution:
O no solution
O infinitely many solutions
X
I 0/5
Jocelyn V
Español
? 圜 □ 留 □
As
Ⓒ2024 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center
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