3 - PAIR OF LINEAR EQUATIONS IN TWO VARIABLES
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Practice Questions
Test your understanding with targeted questions
Form a pair of linear equations for the scenario: "John bought 3 apples and 4 bananas for $2. If he bought 5 apples and 2 bananas it cost him $1.50."
💡 Hint: Use the costs involved to create your equations.
Which of these pairs of equations [2x + y = 5, 4x + 2y = 10] are consistent?
💡 Hint: Check the ratios of coefficients.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What do you call a pair of linear equations that has no solution?
💡 Hint: Think of the scenario of parallel lines!
Is a dependent pair of equations consistent or inconsistent?
💡 Hint: Reflect on the concept of coincident lines.
1 more question available
Challenge Problems
Push your limits with advanced challenges
A farmer has a total of 100 animals consisting of cows and goats. If cows are double in number compared to goats, find out how many of each kind there are.
💡 Hint: Set up the total as a single equation.
Two equations represent the same line but in different formats. Show their forms and demonstrate their infinite solutions.
💡 Hint: Transform both equations to confirm their equivalency.
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