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20 questions and an answer page, sized for A4.

Simultaneous equations

Year 9 · Patterns & Algebra · 20 questions

Name
Date
  1. 1.
    Solve the simultaneous equations 2x + 3y = 9 and x − y = -3. What is y?
  2. 2.
    Solve the simultaneous equations 4x + 4y = -36 and 3x − 3y = 3. What is y?
  3. 3.
    Solve the simultaneous equations 3x + y = -6 and 2x − 2y = -20. What is x?
  4. 4.
    Solve the simultaneous equations x + 2y = 18 and 3x − y = 5. What is y?
  5. 5.
    Solve the simultaneous equations 4x + 3y = -14 and 2x − y = -12. What is x?
  6. 6.
    Solve the simultaneous equations 4x + 3y = -9 and 3x − 2y = -11. What is x?
  7. 7.
    Solve the simultaneous equations 3x + 3y = 33 and 4x − 2y = 26. What is y?
  8. 8.
    Solve the simultaneous equations 4x + 4y = -24 and x − y = -4. What is x?
  9. 9.
    Solve the simultaneous equations 2x + 4y = 16 and 4x − 2y = -28. What is x?
  10. 10.
    Solve the simultaneous equations 3x + 2y = -11 and 4x − 4y = -8. What is y?
  11. 11.
    Solve the simultaneous equations 4x + 2y = 24 and 3x − y = 8. What is x?
  12. 12.
    Solve the simultaneous equations 3x + 4y = 25 and 4x − 2y = -18. What is x?
  13. 13.
    Solve the simultaneous equations 2x + 4y = 8 and 4x − 3y = -17. What is x?
  14. 14.
    Solve the simultaneous equations 2x + 2y = 2 and x − 2y = -5. What is x?
  15. 15.
    Solve the simultaneous equations x + 3y = -1 and x − 3y = 17. What is y?
  16. 16.
    Solve the simultaneous equations x + 4y = 1 and x − 4y = 9. What is y?
  17. 17.
    Solve the simultaneous equations 4x + 2y = -12 and x − 2y = -3. What is x?
  18. 18.
    Solve the simultaneous equations x + 2y = -8 and x − y = 7. What is x?
  19. 19.
    Solve the simultaneous equations x + y = 4 and 3x − 2y = 17. What is y?
  20. 20.
    Solve the simultaneous equations 3x + 3y = 24 and x − y = 2. What is x?

Free maths worksheets and practice: rocketdigits.com/learn/simultaneous-equations

Answers: Simultaneous equations

  1. 3
  2. -5
  3. -4
  4. 7
  5. -5
  6. -3
  7. 3
  8. -5
  9. -4
  10. -1
  11. 4
  12. -1
  13. -2
  14. -1
  15. -3
  16. -1
  17. -3
  18. 2
  19. -1
  20. 5

Free maths worksheets and practice: rocketdigits.com/learn/simultaneous-equations

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