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Class 10 Maths — Pair of linear equations

Solve a pair of linear equations in two variables by substitution and elimination, and say how many solutions a pair has.

Name: ________________________

Before you start

One scale, and every box on it hides the same weight. Move things about and find out what a single scale can and cannot tell you.

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A scale can pin down one unknown, never two at once — which is exactly why a pair of equations is needed. Elimination is the step that turns the pair into a single scale like this one.

  1. 1.Two adult tickets and one child ticket cost 900 ₹. One adult ticket and one child ticket cost 500 ₹. What does one child ticket cost? Give just the number.

  2. 2.Two adult tickets and one child ticket cost 900 ₹. One adult ticket and one child ticket cost 500 ₹. What does one adult ticket cost? Give just the number.

  3. 3.The sum of two numbers is 25 and their difference is 7. What is the larger number?

  4. 4.Solve the pair x + y = 10 and x - y = 4. What is x?

  5. 5.Solve the pair x + y = 10 and x - y = 4. What is y?

  6. 6.Solve the pair 3x + 2y = 12 and x = 2. What is y?

  7. 7.Solve the pair 5x - 2y = 16 and x + 2y = 8. What is x?

  8. 8.Solve the pair 2x + y = 11 and x - y = 1. What is x?

Answer key — Class 10 Maths — Pair of linear equations

  1. 1. 100
  2. 2. 400
  3. 3. 16
  4. 4. 7
  5. 5. 3
  6. 6. 3
  7. 7. 4
  8. 8. 4