Practice Summary - 3.4 | 3. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES | CBSE 10 Mathematics
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Summary

3.4 - Summary

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does it mean if two lines representing linear equations intersect at a point?

💡 Hint: Think about what an intersection implies.

Question 2 Easy

When are two equations considered inconsistent?

💡 Hint: Recall the graphical representation of lines.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What do intersecting lines on a graph signify?

Infinite solutions
No solutions
A unique solution

💡 Hint: Visualize the graph with two crossing lines.

Question 2

If the lines are parallel, what can we conclude?

True
False

💡 Hint: Consider the properties of slopes.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Solve the equations 5x - 3y = 4 and 2y - x = 6 using both the substitution and elimination methods. Are the solutions consistent?

💡 Hint: Use elimination to isolate variables and verify.

Challenge 2 Hard

Create a real-world scenario where you can apply linear equations to find a solution. Formulate the equations and solve them.

💡 Hint: Set up equations that represent their combined financial situations.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.