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 Line 1: y = - Line 1: y =x+2 1 Line 1: y =7x-4 x-2 1 Line 2: y =- 1 Line 2: y= -x+4 Line 2: -x+4y=-16 12 4- -2- -2- 4. LI L2 This system of equations is: This system of equations is: This system of equations is: O consistent independent O consistent dependent O inconsistent O consistent independent O consistent dependent O inconsistent O consistent independent O consistent dependent O inconsistent This means the system has: This means the system has: This means the system has: O a unique solution O a unique solution O a unique solution Solution: (OD Solution: (0D Solution: 0D infinitely many solutions no solution O infinitely many solutions O no solution O infinitely many solutions O no solution

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

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.

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
1
Line 1: y = -
3
1
x-4
2
Line 1: y =x+2
Line 1: y =
1
x+4
1
Line 2: y =
Line 2: v =-
Line 2: -x+4y=-16
L2
2-
-6
L1
L1
L2
This system of equations is:
This system of equations is:
This system of equations is:
O consistent independent
O consistent dependent
O inconsistent
O consistent independent
O consistent dependent
O inconsistent
O consistent independent
O consistent dependent
O inconsistent
This means the system has:
This means the system has:
This means the system has:
O a unique solution
O a unique solution
O a unique solution
Solution: (0D)
Solution: (1.D
Solution: O U)
O infinitely many solutions
O no solution
O infinitely many solutions
O no solution
O infinitely many solutions
O no solution
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. System A System B System C 1 Line 1: y = - 3 1 x-4 2 Line 1: y =x+2 Line 1: y = 1 x+4 1 Line 2: y = Line 2: v =- Line 2: -x+4y=-16 L2 2- -6 L1 L1 L2 This system of equations is: This system of equations is: This system of equations is: O consistent independent O consistent dependent O inconsistent O consistent independent O consistent dependent O inconsistent O consistent independent O consistent dependent O inconsistent This means the system has: This means the system has: This means the system has: O a unique solution O a unique solution O a unique solution Solution: (0D) Solution: (1.D Solution: O U) O infinitely many solutions O no solution O infinitely many solutions O no solution O infinitely many solutions O no solution
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