Access the official NCERT Class 10 Mathematics textbook for Chapter 3 – Pair of Linear Equations in Two Variables PDF. This chapter teaches students how to model relationships using two linear equations in two variables, and solve them using three methods: graphical, substitution, and elimination. It also covers the conditions for consistency—unique, no, or infinite solutions—and real-world applications like pricing problems and comparing quantities
Chapter Highlights:
- Definition of a linear equation in two variables (ax + by + c = 0)
- Forming equations from word problems (e.g., pricing pens and pencils)
- Graphical method: plotting two lines to find the intersection (solution)
- Algebraic methods: Substitution, Elimination, and Cross‑multiplication
- Consistency conditions:
- Intersecting lines → unique solution
- Parallel lines → no solution
- Coincident lines → infinite solutions
- Applications in real-life scenarios like purchase problems and comparisons