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Class X Mathematics

Chapter 3: Pair of Linear Equations in Two Variables

Standard NCERT & CBSE aligned study curriculum. Master concepts, track accuracy, revise weak areas, and challenge yourself with 9 customized practice modes.

Example 1

Solving by Elimination

Solve the linear system: x + y = 5 and 2x - 3y = 4.
A(x₁, y₁)B(x₂, y₂)d

Calculation Steps:

  1. 1Multiply first equation by 3: 3x + 3y = 15.
  2. 2Add the equations: (3x + 3y) + (2x - 3y) = 15 + 4 => 5x = 19.
  3. 3Solve x: x = 19/5 = 3.8.
  4. 4Substitute x into first equation: 3.8 + y = 5 => y = 1.2.
Solutionx = 3.8, y = 1.2