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3 cards from this section. Quick, good the night before a test.
Solve using substitution: x + y = 12; 3x - y = 4.
Isolate y in the first equation.
Solve using elimination: 2x + 3y = 6; 4x + 6y = 12.
Eliminate one variable to check for dependence.
What is the main purpose of the substitution method?
Think about the initial steps involved in this method.
True or False: The elimination method can result in infinite solutions.
Consider what happens when two lines overlap.
Solve for two unknown numbers based on their sum of 36 and the condition that one number is twice the other.
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.
Translate the problem into equations based on the weight relationships.
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