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21.16.1. Definition
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- 1.
What is a system of linear equations?
Hint
Think about equations involving the same letters.
- 2.
Define a consistent system.
Hint
Remember, it can have one or more solutions.
- 3.
What is a system of linear equations?
- A collection of equations with different variables
- A collection of equations with the same variables
- A single equation
Hint
Think about what defines a 'system'.
- 4.
True or False: An inconsistent system has at least one solution.
- True
- False
Hint
Consider what 'inconsistent' implies.
- 5.
Given the following equations: 4x + 2y = 8 and 2x + y = 4. Are they consistent? Solve.
Hint
Try rewriting one of the equations; think if they overlap.
- 6.
Determine whether the equations 5x - 3y = 15 and 5x - 3y = 10 form a consistent system. Justify.
Hint
Check if you can derive a solution that satisfies both at the same time.
Exercises
Total Questions
2
Estimated Time
4 min
Passing Score
70%
Instructions
- Read each question carefully
- You can use hints if you need help
- Complete all questions before submitting
4 more questions available
Enrol freeQuiz
Total Questions
2
Estimated Time
4 min
Passing Score
70%
Instructions
- Read each question carefully
- You can use hints if you need help
- Complete all questions before submitting
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Enrol freeChallenge Problems
Total Questions
2
Estimated Time
4 min
Passing Score
70%
Instructions
- Read each question carefully
- You can use hints if you need help
- Complete all questions before submitting