Practice Substitution Method - 3.3.1 | 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

Substitution Method

3.3.1 - Substitution Method

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

Solve the pair of equations: x + y = 10 and x - y = 4.

💡 Hint: Isolate x or y in one equation and substitute into the other.

Question 2 Easy

If 2x + 3y = 12 and y = x - 2, find x and y.

💡 Hint: Substitute y into the first equation to solve for x.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the first step in the substitution method?

Isolate a variable
Multiply equations
Combine like terms

💡 Hint: Think about what you need to do to solve for one variable.

Question 2

True or False: The substitution method can be used for any pair of linear equations.

True
False

💡 Hint: Consider the versatility of the substitution method.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Two numbers differ by 6, and their product is 72. Use substitution to find both numbers.

💡 Hint: Express one variable in terms of the other based on their difference.

Challenge 2 Hard

The sum of ages of three friends is 60. If one friend is twice as old as another and the third friend is 5 years older than the youngest, find their ages.

💡 Hint: Set up equations based on given relationships and substitute accordingly.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.