(a)
The system having infinitely many solutions
(a)
Answer to Problem 31E
NEVER TRUE
Explanation of Solution
Given information:
The given system of linear equation as shown below,
Formula used:
Line equation method
Calculation:
NEVER TRUE
The 2 lines can never be the same line for any values of a & b
Conclusion:
The 2 lines can never be the same line for any values of a & b
(b)
The system has no solution.
(b)
Answer to Problem 31E
SOMETIMES TRUE
Explanation of Solution
Given information:
The given system of linear equation as shown below,
Formula used:
Line equation method
Calculation:
SOMETIMES TRUE
The 2 lines can have no solution when they have the same slope or parallel. That is, if a = b.
Conclusion:
The 2 lines can have no solution when they have the same slope or parallel. That is, if a = b.
(c)
The system has no solution when a
(c)
Answer to Problem 31E
ALWAYS TRUE
Explanation of Solution
Given information:
The given system of linear equation as shown below,
Formula used:
Line equation method
Calculation:
ALWAYS TRUE
The 2 lines will have different slopes & will intersect at only 1 point.
Conclusion:
The 2 lines will have different slopes & will intersect at only 1 point.
Chapter 5 Solutions
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