Practice PAIR OF LINEAR EQUATIONS IN TWO VARIABLES - 3 | 3. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES | CBSE 10 Mathematics
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3 - PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

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."

πŸ’‘ Hint: Use the costs involved to create your equations.

Question 2

Easy

Which of these pairs of equations [2x + y = 5, 4x + 2y = 10] are consistent?

πŸ’‘ Hint: Check the ratios of coefficients.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What do you call a pair of linear equations that has no solution?

  • Dependent
  • Consistent
  • Inconsistent

πŸ’‘ Hint: Think of the scenario of parallel lines!

Question 2

Is a dependent pair of equations consistent or inconsistent?

  • True
  • False

πŸ’‘ Hint: Reflect on the concept of coincident lines.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

πŸ’‘ Hint: Set up the total as a single equation.

Question 2

Two equations represent the same line but in different formats. Show their forms and demonstrate their infinite solutions.

πŸ’‘ Hint: Transform both equations to confirm their equivalency.

Challenge and get performance evaluation