3.3 - Algebraic Methods of Solving a Pair of Linear Equations
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Practice Questions
Test your understanding with targeted questions
Solve using substitution: x + y = 12; 3x - y = 4.
💡 Hint: Isolate y in the first equation.
Solve using elimination: 2x + 3y = 6; 4x + 6y = 12.
💡 Hint: Eliminate one variable to check for dependence.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the main purpose of the substitution method?
💡 Hint: Think about the initial steps involved in this method.
True or False: The elimination method can result in infinite solutions.
💡 Hint: Consider what happens when two lines overlap.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Solve for two unknown numbers based on their sum of 36 and the condition that one number is twice the other.
💡 Hint: Set up the equations based on the relationships described.
A model car and train have a total weight of 1500 grams. The weight of the train is 300 grams more than the car. Find their respective weights.
💡 Hint: Translate the problem into equations based on the weight relationships.
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