21.11.1 - Definition
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Practice Questions
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Define a system of linear equations.
💡 Hint: Think about the number of equations and variables.
What does consistent mean in the context of a system?
💡 Hint: Consider what happens if you can find a solution.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What defines a system of linear equations?
💡 Hint: Think about what a 'system' implies in mathematics.
True or False: An inconsistent system has at least one solution.
💡 Hint: Reflect on the meaning of inconsistent.
2 more questions available
Challenge Problems
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Given the system of equations: 5x - 3y = 12 and 15x - 9y = 36, determine the nature of the system and support your justification.
💡 Hint: Check if one equation is a scalar multiple of the other.
Use Gauss elimination to solve the following equations: 2x + y = 8, 4x - 3y = -2.
💡 Hint: Focus on getting zeros below the leading coefficients.
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