Practice Algebraic Methods of Solving a Pair of Linear Equations - 3.3 | 3. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES | CBSE 10 Mathematics
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3.3 - Algebraic Methods of Solving a Pair of Linear Equations

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Solve using substitution: x + y = 12; 3x - y = 4.

πŸ’‘ Hint: Isolate y in the first equation.

Question 2

Easy

Solve using elimination: 2x + 3y = 6; 4x + 6y = 12.

πŸ’‘ Hint: Eliminate one variable to check for dependence.

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 is the main purpose of the substitution method?

  • To graph equations
  • To isolate a variable
  • To find the coefficients

πŸ’‘ Hint: Think about the initial steps involved in this method.

Question 2

True or False: The elimination method can result in infinite solutions.

  • True
  • False

πŸ’‘ Hint: Consider what happens when two lines overlap.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Solve for two unknown numbers based on their sum of 36 and the condition that one number is twice the other.

πŸ’‘ Hint: Set up the equations based on the relationships described.

Question 2

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.

πŸ’‘ Hint: Translate the problem into equations based on the weight relationships.

Challenge and get performance evaluation