NCERT Solutions Class 10 Maths Chapter 3 Exercise 3.3
NCERT Solutions for Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables Ex 3.3
FAQs on NCERT Solutions for Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables Ex 3.3
1. What is the main objective of Chapter 3 Pair of Linear Equations in Two Variables in Class 10 Maths as per NCERT Solutions?
The primary objective of this chapter is to help students understand how to solve a pair of linear equations in two variables using graphical and algebraic methods, such as substitution, elimination, and cross-multiplication, in accordance with CBSE Class 10 syllabus (2025–26).
2. Which algebraic methods are explained for solving linear equations in Exercise 3.3 of Class 10 Maths NCERT Solutions?
In Exercise 3.3, students learn two main algebraic methods as per NCERT guidelines:
- Elimination Method: Removing one variable by adding or subtracting equations.
- Substitution Method: Substituting the value of one variable from one equation into the other equation.
3. How do you identify if a pair of linear equations has no solution using elimination or substitution?
If, after applying elimination or substitution, you reach a contradictory statement (such as 2 ≠ 3), then the system of equations is inconsistent and has no solution.
4. Why is understanding the step-by-step solution approach important in Class 10 Maths NCERT Solutions for chapter 3?
Following a stepwise approach in NCERT Solutions helps students:
- Develop logical problem-solving skills
- Clearly understand each algebraic method
- Avoid calculation mistakes
- Score better as per CBSE marking scheme
5. What are some real-life applications of solving pairs of linear equations introduced in Class 10 Chapter 3 NCERT Solutions?
Real-life scenarios where pairs of linear equations are used include:
- Calculating ages based on conditions
- Determining cost or price in business situations
- Solving problems involving mixtures
- Finding number of notes of different denominations as in banking problems
6. What precautions should students take to avoid errors while solving using the elimination method?
Students should:
- Ensure variable coefficients are made exactly equal (by appropriate multiplication)
- Pay attention to sign changes when adding/subtracting equations
- Re-check substituted solutions in both equations
7. In what scenarios should the substitution method be preferred over the elimination method as per NCERT Solutions for Class 10 Chapter 3?
The substitution method is typically preferred when one equation can be easily rearranged to express one variable in terms of the other, making calculations simpler and reducing chances of arithmetic errors.
8. How can students confirm their solution for a pair of linear equations is correct in Class 10 Maths Chapter 3?
After finding the values of x and y, students must substitute both values back into the original equations to check if both equations are satisfied. If they do, the solution is correct as per NCERT standards.
9. What kind of conceptual traps can appear when solving ‘equations reducible to a pair of linear equations’ as per the NCERT Solutions?
Common traps include:
- Mistaking equations with variables in denominators for non-linear equations
- Incorrectly simplifying or cross-multiplying both sides
- Not checking for extraneous (invalid) solutions introduced by multiplication
10. What role do solved examples in Exercise 3.3 play in understanding the chapter as per Vedantu's NCERT Solutions for Class 10 Maths?
Solved examples in Exercise 3.3:
- Demonstrate correct application of methods
- Highlight common student mistakes
- Help reinforce conceptual understanding
- Prepare students for similar exam-style questions
11. How can practicing all exercises and examples from NCERT Solutions for Class 10 Maths Chapter 3 help boost CBSE exam scores?
Solving every problem and example ensures thorough understanding of solved techniques, familiarizes students with various question types, and builds speed and accuracy—directly improving performance in CBSE 2025–26 board exams.
12. What is the fundamental difference between the substitution method and elimination method in the context of Class 10 Maths NCERT Solutions?
The substitution method replaces one variable in an equation with its equivalent from the other equation, while the elimination method adds or subtracts equations to eliminate one variable, both converting the two-variable system into a one-variable equation as per Chapter 3 guidelines.
13. Why is it important to learn multiple methods for solving linear equations as per the latest NCERT syllabus for Class 10 Maths?
Different exams or problems may favor one method over another in terms of speed or simplicity. Learning multiple methods provides flexibility, deeper conceptual understanding, and helps tackle a wider variety of question types in the CBSE exam.
14. What key formulas must be memorized for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables?
Students must know:
- Cross-multiplication formulas for x and y
- The standard form of a linear equation: ax + by + c = 0
- The method-based steps for elimination and substitution
15. How do the solutions in Vedantu's Class 10 Maths Chapter 3 NCERT Solutions help students who find mathematics challenging?
Vedantu’s NCERT Solutions break down each step, provide explanations in simple language, highlight where students commonly make mistakes, and align with the CBSE approach—thus making it easier for all students to understand and excel in Maths.











