Learn
Games
3. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

Exploration of pair of linear equations in two variables offers insights into graphical and algebraic methods for finding solutions. Key concepts include identifying consistent, inconsistent, and dependent systems of equations while analyzing their graphical representations. Various mathematical representations and methods to approach these equations are emphasized throughout the chapter.

Sections

  • 3

    Pair Of Linear Equations In Two Variables

    This section covers the representation and solution of pairs of linear equations in two variables using graphical and algebraic methods.

    Learning Practice

  • 3.1

    Introduction

    This section introduces the concept of pair of linear equations in two variables through relatable examples and outlines the methods to represent and solve these equations.

    Learning Practice

  • 3.2

    Graphical Method Of Solution Of A Pair Of Linear Equations

    This section introduces the graphical method for solving pairs of linear equations in two variables, detailing conditions for consistent, inconsistent, and dependent equations.

    Learning Practice

  • 3.3

    Algebraic Methods Of Solving A Pair Of Linear Equations

    This section explores algebraic methods for solving pairs of linear equations, focusing on substitution and elimination methods.

    Learning Practice

  • 3.3.1

    Substitution Method

    The Substitution Method is an effective algebraic technique used to solve pairs of linear equations by expressing one variable in terms of the other and substituting it into the other equation.

    Learning Practice

  • 3.3.2

    Elimination Method

    The elimination method is a systematic approach to solving pairs of linear equations by removing one variable to simplify the equations.

    Learning Practice

  • 3.4

    Summary

    This section provides a concise overview of various methods to solve a pair of linear equations in two variables, including graphical and algebraic approaches.

    Learning Practice

References

NCERT Study Material

Class Notes

Memorization

What we have learnt

  • Understanding the represent...
  • Applying graphical and alge...
  • Identifying the nature of s...

Final Test

Revision Tests

Chapter FAQs