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=x+6 Line 1: y= 2 Line 2: y=x-1 =-x LI

=x+6 Line 1: y= 2 Line 2: y=x-1 =-x LI

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
System A System B System C 1 Line 1: y=- x-4 5 Line 1: y=x+6 Line 1: y= -x+4 2 Line 2: y=-x Line 2: y= (-1 Line 2: x+3y=-12 L2 LI LI L2 This system of equations is: This system of equations is: This system of equations is: O inconsistent O consistent dependent O consistent independent O inconsistent O consistent dependent O consistent independent O inconsistent O consistent dependent O consistent independent 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: D Solution: O D Solution: 1D O infinitely many solutions O no solution O infinitely many solutions O no solution infinitely many solutions O no solution Explanation Check 2020 McGraw-Hill Education. All Rights Reserved. esc FI F2 44 %23 24 * 3 4 5 6 7 Q T Y U G A
Transcribed Image Text:System A System B System C 1 Line 1: y=- x-4 5 Line 1: y=x+6 Line 1: y= -x+4 2 Line 2: y=-x Line 2: y= (-1 Line 2: x+3y=-12 L2 LI LI L2 This system of equations is: This system of equations is: This system of equations is: O inconsistent O consistent dependent O consistent independent O inconsistent O consistent dependent O consistent independent O inconsistent O consistent dependent O consistent independent 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: D Solution: O D Solution: 1D O infinitely many solutions O no solution O infinitely many solutions O no solution infinitely many solutions O no solution Explanation Check 2020 McGraw-Hill Education. All Rights Reserved. esc FI F2 44 %23 24 * 3 4 5 6 7 Q T Y U G A
Expert Solution
Step 1

In system A,

L1:y=x+6L2:y=-x

The graph of the lines are intersect at one point. Hence there is exactly one solution.

Thus the system is consistent ,independent and has unique solution.

In system B,

L1:y=52x+4L2:y=52x-1

The graph of the lines are parallel. Hence there is no solution.

Thus the system is inconsistent and has no solution.

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