GyanGhar GyanGhar

Class 10 (English Medium) · Math · Chapter 3

Pair of Linear Equations in Two Variables

This chapter studies pairs of linear equations in two variables and the different ways to solve them. It covers forming equations from word problems, the graphical method (intersecting, coincident and parallel lines), the algebraic methods of substitution and elimination, the cross-multiplication method and the conditions for a pair to be consistent or inconsistent (retained by many State Boards), and equations reducible to a pair of linear equations. It is a high-scoring, application-rich chapter important for both CBSE and State Board examinations.

8 sections · ~390 min read · Free, no login needed
Start Reading

Topics in this chapter

  1. 1

    Introduction and Pair of Linear Equations

    40 min read · Quiz included

  2. 2

    Graphical Method of Solution

    45 min read · Quiz included

  3. 3

    Algebraic Method — Substitution

    40 min read · Quiz included

  4. 4

    Algebraic Method — Elimination

    40 min read · Quiz included

  5. 5

    Cross-Multiplication, Conditions for Consistency and Reducible Equations

    45 min read · Quiz included

  6. 6

    Solved Examples

    90 min read

  7. 7

    Board Previous Year Questions (Board PYQs)

    75 min read

  8. 8

    Summary and Quick Revision

    15 min read