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

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.4: Solving Nonlinear Systems Of Equations
Problem 63E
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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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