NCERT Solutions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Exercise 3.2 - FREE PDF Download
NCERT Solutions for Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables Ex 3.2
FAQs on NCERT Solutions for Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables Ex 3.2
1. What is the main approach used in NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.2?
NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.2 primarily use two algebraic methods to solve pairs of linear equations in two variables: substitution method and elimination method. Both methods follow stepwise CBSE guidelines to ensure clarity of concepts and accuracy in answers as per the latest syllabus (2025–26).
2. How do you solve linear equations by the substitution method in Class 10 Maths Chapter 3?
In the substitution method as explained in the NCERT Solutions for Class 10 Maths Chapter 3, you first solve one equation for one variable in terms of the other. This expression is then substituted into the second equation, reducing it to one variable and making it easier to solve both variables.
3. When should you use the elimination method instead of substitution in NCERT Solutions for Class 10 Maths Chapter 3?
Use the elimination method when the coefficients of a variable in both equations are the same or easily made identical (possibly by multiplying an equation by a constant). This allows you to add or subtract the equations to eliminate one variable quickly, aligning with the CBSE stepwise pattern.
4. What types of solutions can you encounter in pairs of linear equations in two variables?
According to NCERT Solutions Class 10 Maths Chapter 3, pairs of linear equations in two variables can have:
- A unique solution (lines intersect at one point)
- Infinite solutions (lines coincide)
- No solution (lines are parallel and never meet)
5. Which real-life situations can be modeled using pairs of linear equations in Class 10 Chapter 3?
Common real-life scenarios such as calculating ages, determining costs given fixed and variable charges (like taxi fares), mixing solutions, and comparing profits or losses are modeled and solved using linear equations, as reflected in NCERT Solutions for Class 10 Maths Chapter 3 as per CBSE 2025–26 syllabus.
6. Why do some pairs of linear equations have infinite solutions, according to NCERT pattern?
Infinite solutions occur when both equations describe the same straight line—mathematically, this happens when the ratios of coefficients of x, y, and constants are equal (a1/a2 = b1/b2 = c1/c2), as per the concept clarified in NCERT Solutions for Class 10 Maths Chapter 3.
7. How can you identify if a pair of linear equations in two variables has no solution?
If the ratios of the coefficients of x and y are the same but do not equal the ratio of the constants (a1/a2 = b1/b2 ≠ c1/c2), the equations represent parallel lines that never meet, resulting in no solution as per CBSE standards for linear equations in two variables.
8. What should you do if substitution leads to an identity like 0 = 0 or a contradiction as per Class 10 Maths NCERT Solutions?
- If substitution leads to an identity such as 0 = 0, it means there are infinite solutions (the equations are dependent).
- If substitution leads to a contradiction, such as 5 = 0, it means the pair has no solution (the equations are inconsistent or parallel).
9. How are word problems involving pairs of linear equations solved in NCERT Solutions for Class 10 Maths Chapter 3?
Word problems are approached by:
- Translating the given situation into two algebraic equations
- Assigning variables to unknown quantities
- Solving the equations using substitution or elimination as demonstrated in the NCERT Solutions
- Interpreting the mathematical result in the context of the original problem
10. What are common student errors while applying the elimination or substitution method as per NCERT Class 10?
- Arithmetic mistakes during transposition or simplification
- Wrong substitution of values
- Not aligning coefficients properly in elimination
- Misinterpreting infinite or no solutions
11. Are graphical solutions included in NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.2?
No, Exercise 3.2 in NCERT Solutions for Class 10 Maths Chapter 3 focuses on algebraic methods only; graphical representation is typically addressed in earlier exercises or theory as per CBSE 2025–26 syllabus.
12. How does practicing NCERT Solutions for Class 10 Maths Chapter 3 Exercise 3.2 help for board exams?
Regular practice with NCERT Solutions ensures you understand the stepwise CBSE marking scheme, build conceptual clarity in methods (elimination, substitution), and become efficient in solving both direct problems and application-based word problems, helping to maximize your marks in the Class 10 board exam.
13. What is a linear equation in two variables as defined in Class 10 Maths Chapter 3?
A linear equation in two variables takes the form ax + by = c, where a, b, and c are real numbers and at least one of a or b is non-zero. Every solution (x, y) makes the equation true and graphs as a straight line according to NCERT Solutions for Class 10 Maths Chapter 3.
14. How do you check your answer after solving a pair of linear equations in two variables?
After obtaining the values of x and y, substitute them back into both original equations. If both equations are satisfied, your solution is correct, as advised in NCERT Solutions for Class 10 Maths Chapter 3.
15. What is the importance of learning to solve pairs of linear equations in two variables in Class 10 Maths?
Mastering this concept is vital for further maths studies and everyday applications, including financial calculations, mixture problems, and scientific analysis. Proficiency in the methods given in the NCERT Solutions for Class 10 Maths Chapter 3 is crucial for excelling in school exams and competitive tests as per CBSE requirements.











