Linear Equations in Two Variables

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Concepts Learning Sessions

Session # 1


Before delving into the concepts of Linear Equations in two variables, its important to revisit the basics of Algebra - terms, expressions and definition and types of Polynomials. In this session following topics have been covered:

  • Terms and Expressions
  • Polynomials and their types
  • Linear Polynomials
  • Linear Equations in two variables
  • Why is a Linear Equation called so?
  • Meaning of solution of a Linear Equation
  • A pair of Linear Equations
  • Methods of Solving a pair of Linear Equations.
    • Graphical Method
    • Algebraic Method : (Methods of Substitution and Elimination have been discussed in this session)

Session # 2 What are Determinants?

In this session, a small introduction to Determinants has been made. Cramer's Rule to solve a system of linear equations require the knowledge of Determinants and the method of finding its value. This session would not be sufficient for in-depth knowledge in Determinants.

Session # 3 Cramer's Rule

In this session, a method of solving a pair of linear equations in two variables using Cramer's Rule has been described.

Problems

Problem Solving Session# 1 Solving a pair of linear equations in two variables using the method of "SUBSTITUTION"

Problem Solving Session# 2 Solving a pair of linear equations in two variables using the method of "ELIMINATION"

Problem Solving Session# 3 Solving a pair of linear equations in two variables using the method of "CROSS MULTIPLICATION"

Problem Solving Session# 4 Word Problem on Area of a Rectangle