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5 cards from this section. Quick, good the night before a test.
Describe the graphical method of solving a system of equations.
Think about how you visualize equations on a plane.
What is the outcome if lines in a system are parallel?
Consider what parallel lines represent.
Which method is best for solving large systems of equations?
Think about which method is computationally efficient.
True or False: A consistent system can have infinitely many solutions.
Recall the definitions of consistent and dependent systems.
A system of equations has two equations: 4x - 2y = 8 and 2x + y = 5. Show all steps to find the solution using both substitution and elimination methods, and compare results.
Start with the easier variable to isolate.
Using Gauss elimination, solve the following system: x + 2y + z = 7, 2x + 3y + 4z = 12, 3x + y + z = 10. Provide a complete breakdown of the elimination steps.
Focus on the step of eliminating one variable at a time.
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