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Solve a system by substitution: both equations in slope-intercept form

Grade 8 math · Fieldbook Learning

Name ______________________ Date __________

Use substitution or elimination so that you find x and y. Write your answer as (x, y).

  1. Solve the system: y = −4x − 6 and y = −2x − 2. Write your answer as (x, y).
  2. Solve the system: y = 4x − 6 and y = −3x + 15. Write your answer as (x, y).
  3. Solve the system: y = 3x + 6 and y = −5x − 10. Write your answer as (x, y).
  4. Solve the system: y = 3x + 7 and y = 4x + 9. Write your answer as (x, y).
  5. Solve the system: y = −3x − 2 and y = −x − 4. Write your answer as (x, y).
  6. Solve the system: y = −2x + 5 and y = 6x + 13. Write your answer as (x, y).
  7. Solve the system: y = 2x + 18 and y = −6x − 22. Write your answer as (x, y).
  8. Solve the system: y = 4x + 17 and y = 5x + 20. Write your answer as (x, y).
  9. Solve the system: y = 6x + 42 and y = 3x + 24. Write your answer as (x, y).
  10. Solve the system: y = 4x − 35 and y = 6x − 53. Write your answer as (x, y).
  11. Solve the system: y = −2x + 8 and y = x + 11. Write your answer as (x, y).
  12. Solve the system: y = 2x + 1 and y = 6x + 1. Write your answer as (x, y).
  13. Solve the system: y = 4x + 13 and y = 2x + 7. Write your answer as (x, y).
  14. Solve the system: y = 5x − 8 and y = −x − 2. Write your answer as (x, y).
  15. Solve the system: y = −x + 15 and y = −6x + 65. Write your answer as (x, y).
  16. Solve the system: y = x + 14 and y = 4x + 29. Write your answer as (x, y).
  17. Solve the system: y = 3x + 27 and y = −8x − 105. Write your answer as (x, y).
  18. Solve the system: y = 8x + 86 and y = 2x + 32. Write your answer as (x, y).
  19. Solve the system: y = −5x + 34 and y = 5x − 6. Write your answer as (x, y).
  20. Solve the system: y = 7x + 65 and y = −6x − 65. Write your answer as (x, y).
More free practice: fieldbooklearning.com/practice/grade-8/solve-a-system-by-substitution-both-equations-in-slope-intercept-form/

Answer key: Solve a system by substitution: both equations in slope-intercept form

  1. (-2, 2)
  2. (3, 6)
  3. (-2, 0)
  4. (-2, 1)
  5. (1, -5)
  6. (-1, 7)
  7. (-5, 8)
  8. (-3, 5)
  9. (-6, 6)
  10. (9, 1)
  11. (-1, 10)
  12. (0, 1)
  13. (-3, 1)
  14. (1, -3)
  15. (10, 5)
  16. (-5, 9)
  17. (-12, -9)
  18. (-9, 14)
  19. (4, 14)
  20. (-10, -5)