CBSE Class 10 Mathematics: Pair of Linear Equations in Two Variables — Important Questions with Answers 2026

Short Answer Questions (2-3 Marks)

• Q: Solve graphically: x + y = 5 and 2x - y = 1.
  Ans: Line 1 (x + y = 5): Points (0,5), (5,0), (2,3). Line 2 (2x - y = 1): Points (0,-1), (1,1), (2,3). Both lines intersect at (2, 3). Solution: x = 2, y = 3. Verification: 2 + 3 = 5 ✓ and 2(2) - 3 = 1 ✓.
• Q: Solve by elimination: 3x + 4y = 10 and 2x - 2y = 2.
  Ans: Multiply equation (2) by 2: 4x - 4y = 4 ... (3). Add (1) and (3): 7x = 14 → x = 2. Substitute in (2): 4 - 2y = 2 → 2y = 2 → y = 1. Solution: x = 2, y = 1. Verify: 3(2) + 4(1) = 10 ✓, 2(2) - 2(1) = 2 ✓.

Exam Tips for This Chapter

• Revise all definitions and laws from Pair of Linear Equations in Two Variables — they are commonly asked as 1-2 mark questions
• Practice diagrams related to Pair of Linear Equations in Two Variables — neat labelled diagrams carry 2-3 marks
• For numericals, always show formula → substitution → answer with correct units
• Previous year analysis shows Pair of Linear Equations in Two Variables carries 8-12 marks in the board exam