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 1 Line 1: y=-*- x-1 Line 2: x+4y=-4 12 ↑ This system of equations is: consistent dependent O consistent independent O inconsistent This means the system has: O a unique solution Solution: D Ono solution O infinitely many solutions System B 1 Line 1: y=x Line 2: y=-x-3 L2 ^y LI This system of equations is: O consistent dependent O consistent independent. O inconsistent This means the system has: O a unique solution Solution: Ono solution O infinitely many solutions 1 Line 1: y=-x-2 3 Line 2: y=- 12 System C ett 1 ==x+3 ↑ This system of equations is: LI O consistent dependent O consistent independent O inconsistent This means the system has: O a unique solution Solution: D no solution infinitely many solutions S

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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.
Line 1: y=-
L2
Line 2: x+4y=-4
kt
System A
-6
1
x-1
4
A
61x
4-4
2-
-2
14
LI
This system of equations is:
O consistent dependent
O consistent independent
O inconsistent
This means the system has:
O a unique solution.
Solution: D
O no solution
O infinitely many solutions
1
Line 1: y=2*
System B
Line 2: y=-x-3
L2
K
64
4-
2-
LI
This system of equations is:
O consistent dependent
O consistent independent
O inconsistent
This means the system has:
O a unique solution
Solution:
Ono solution
O infinitely many solutions.
Line 1: y=
Line 2: y = -
L2
System C
1
-x-2
3
1
x + 3
64"
4-
This system of equations is:
O consistent dependent
O consistent independent
O inconsistent
This means the system has:
O a unique solution
Solution:
LI
Ono solution
O infinitely many solutions
X
3
C
Transcribed Image Text: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=- L2 Line 2: x+4y=-4 kt System A -6 1 x-1 4 A 61x 4-4 2- -2 14 LI This system of equations is: O consistent dependent O consistent independent O inconsistent This means the system has: O a unique solution. Solution: D O no solution O infinitely many solutions 1 Line 1: y=2* System B Line 2: y=-x-3 L2 K 64 4- 2- LI This system of equations is: O consistent dependent O consistent independent O inconsistent This means the system has: O a unique solution Solution: Ono solution O infinitely many solutions. Line 1: y= Line 2: y = - L2 System C 1 -x-2 3 1 x + 3 64" 4- This system of equations is: O consistent dependent O consistent independent O inconsistent This means the system has: O a unique solution Solution: LI Ono solution O infinitely many solutions X 3 C
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