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Find y in a system by setting the expressions equal

Year 8 maths · Fieldbook Learning

Name ______________________ Date __________

Set the two expressions for y equal to each other and solve for x. Use x to find y.

  1. Solve the system: y = 2x − 5 and y = 5x − 14. What is the value of y?
  2. Solve the system: y = 5x − 20 and y = −x + 10. What is the value of y?
  3. Solve the system: y = 5x − 35 and y = 3x − 23. What is the value of y?
  4. Solve the system: y = −3x − 11 and y = 5x + 13. What is the value of y?
  5. Solve the system: y = 3x + 23 and y = −2x − 17. What is the value of y?
  6. Solve the system: y = −3x − 14 and y = x + 10. What is the value of y?
  7. Solve the system: y = −4x − 9 and y = x − 4. What is the value of y?
  8. Solve the system: y = −x − 10 and y = −5x − 42. What is the value of y?
  9. Solve the system: y = 4x + 6 and y = 6x + 4. What is the value of y?
  10. Solve the system: y = −7x − 16 and y = 6x + 23. What is the value of y?
  11. Solve the system: y = −x − 18 and y = −3x − 38. What is the value of y?
  12. Solve the system: y = −x − 3 and y = x − 13. What is the value of y?
  13. Solve the system: y = −x + 7 and y = −2x + 17. What is the value of y?
  14. Solve the system: y = −x − 11 and y = 2x + 16. What is the value of y?
  15. Solve the system: y = −5x + 28 and y = −3x + 18. What is the value of y?
  16. Solve the system: y = 4x + 9 and y = 7x + 15. What is the value of y?
  17. Solve the system: y = −3x + 3 and y = −8x − 7. What is the value of y?
  18. Solve the system: y = 6x − 45 and y = −6x + 75. What is the value of y?
  19. Solve the system: y = 4x + 29 and y = x + 8. What is the value of y?
  20. Solve the system: y = −2x − 3 and y = 5x + 60. What is the value of y?
More free practice: fieldbooklearning.com/au/practice/year-8/find-y-in-a-system-by-setting-the-expressions-equal/

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12 of these questions as multiple choice, with near-miss wrong answers, ready for Kahoot or Blooket.

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Answer key: Find y in a system by setting the expressions equal

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