21.16.1 - Definition
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Practice Questions
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What is a system of linear equations?
💡 Hint: Think about equations involving the same letters.
Define a consistent system.
💡 Hint: Remember, it can have one or more solutions.
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Interactive Quizzes
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What is a system of linear equations?
💡 Hint: Think about what defines a 'system'.
True or False: An inconsistent system has at least one solution.
💡 Hint: Consider what 'inconsistent' implies.
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Challenge Problems
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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.
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.
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