Practice - Infinite Solutions (Same Line)
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Practice Questions
Test your understanding with targeted questions
Identify if the following equations have infinite solutions: y = 3x + 5 and 2y = 6x + 10.
💡 Hint: Try simplifying both equations.
What does it mean for two equations to be dependent?
💡 Hint: Think about the relationship between their slopes.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What happens when you have two equations that represent the same line?
💡 Hint: Think about how the lines graph together.
True or false: Two equations can have no solutions if they are parallel.
💡 Hint: Visualize what parallel lines look like on a graph.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Demonstrate how two equations can be manipulated to show they have infinite solutions. Give your equations and the steps of simplification.
💡 Hint: Look to simplify by factoring or rearranging.
How can you represent two people earning the same amount but spending differently in equations, and how do their financial decisions lead to determining infinite solutions?
💡 Hint: Analyze how budgets can reflect different needs yet yield the same mathematical outcome.
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