The NCERT Solutions for Class 10 Maths Chapter 3 “Pair of Linear Equations in Two Variables” help students understand important concepts such as solving systems of equations graphically and algebraically. This Chapter focuses on introducing linear equations in two variables and their solutions.
Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables
| Section Name | Topic Description |
|---|---|
| 3 | Introduction to Linear Equations |
| 3.1 | Pair of Linear Equations in Two Variables |
| 3.2 | Graphical Method of Solution |
| 3.3 | Algebraic Methods of Solving Linear Equations |
| 3.4 | Substitution, Elimination, and Cross-Multiplication Methods |
| 3.5 | Equations Reducible to a Pair of Linear Equations |
| 3.6 | Summary |
Pair of Linear Equations Objectives
- Identify systems of linear equations
- Solve equations graphically and algebraically
- Apply different algebraic methods to solve systems of equations
- Understand the conditions for consistent and inconsistent systems
Chapter 3 Class 10 Maths Summary
- Linear Equations in Two Variables: These are equations of the form , where , , and are real numbers, and or .
- Graphical Solution: A pair of linear equations can be solved graphically by plotting both lines and finding their point of intersection.
- Algebraic Methods:
- Substitution Method: Solve one equation for one variable and substitute it in the other equation.
- Elimination Method: Add or subtract equations to eliminate one variable, making it easier to solve.
- Cross-Multiplication Method: Use formulas to directly find the values of the variables.
- Consistency of Systems:
- Consistent Systems: Have a unique solution or infinitely many solutions.
- Inconsistent Systems: Have no solution.
Download NCERT Solutions for Class 10 Maths Chapter 3 PDF
ch3-1Students can download the PDF for NCERT Solutions of Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables for offline study. These solutions are extremely helpful while doing homework and revising before exams.
NCERT Solutions for Class 10 Maths
CBSE NCERT Solutions for Class 10 Maths in PDF form to free download or use online for Gujarat Board, UP Board, MP Board, CBSE, KSEEB, Kerala and other board following NCERT books.
- Chapter 1 Real Numbers
- Chapter 2 Polynomials
- Chapter 3 Pair of Linear Equations in Two Variables
- Chapter 4 Quadratic Equations
- Chapter 5 Arithmetic Progressions
- Chapter 6 Triangles
- Chapter 7 Coordinate Geometry
- Chapter 8 Introduction to Trigonometry
- Chapter 9 Some Applications of Trigonometry
- Chapter 10 Circles
- Chapter 11 Constructions
- Chapter 12 Areas Related to Circles
- Chapter 13 Surface Areas and Volumes
- Chapter 14 Statistics
- Chapter 15 Probability
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