CBSE Class 10 Pair of Linear Equations — Complete Guide

This chapter carries 5-6 marks and is crucial for the Algebra unit. Master graphical and algebraic methods for solving pairs of linear equations.

Quick Revision: Key Concepts

• Unique solution: a₁/a₂ ≠ b₁/b₂ (intersecting lines)
• Infinite solutions: a₁/a₂ = b₁/b₂ = c₁/c₂ (coincident lines)
• No solution: a₁/a₂ = b₁/b₂ ≠ c₁/c₂ (parallel lines)
• Methods: Substitution, Elimination, Cross-multiplication
• Reducible equations: Substitute u = 1/x, v = 1/y

Most Important Questions

1. Determine consistency of a system of equations
2. Solve using elimination or substitution method
3. Word problems: age, speed, fraction, geometry type
4. Equations reducible to linear form (1/x, 1/y type)