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4 cards from this section. Quick, good the night before a test.
Define a system of linear equations.
Think about the number of equations and variables.
What does consistent mean in the context of a system?
Consider what happens if you can find a solution.
What defines a system of linear equations?
Think about what a 'system' implies in mathematics.
True or False: An inconsistent system has at least one solution.
Reflect on the meaning of inconsistent.
Given the system of equations: 5x - 3y = 12 and 15x - 9y = 36, determine the nature of the system and support your justification.
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.
Focus on getting zeros below the leading coefficients.
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