FreeMath
Grade 8hard

Simple Systems of Equations Practice

Practice solving simple systems of two linear equations. Use substitution or elimination to find the values of both variables.

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All 20 Practice Problems

Every question in this set. Solve them on paper, or use the interactive tool above for instant feedback and hints.

  1. 1.x + y = 10, x - y = 4. Find x.
  2. 2.x + y = 10, x - y = 4. Find y.
  3. 3.2x + y = 12, x = 4. Find y.
  4. 4.x + 2y = 14, y = 3. Find x.
  5. 5.x + y = 8, x - y = 2. Find x.
  6. 6.x + y = 8, x - y = 2. Find y.
  7. 7.3x + y = 19, x = 5. Find y.
  8. 8.x + 3y = 21, y = 6. Find x.
  9. 9.x + y = 15, 2x = 20. Find y.
  10. 10.x + y = 20, x = y. Find x.
  11. 11.2x + y = 16, x = 6. Find y.
  12. 12.x + 4y = 25, y = 5. Find x.
  13. 13.x + y = 12, x - y = 6. Find x.
  14. 14.x + y = 12, x - y = 6. Find y.
  15. 15.x + y = 18, y = 2x. Find x.
  16. 16.x + y = 18, y = 2x. Find y.
  17. 17.3x = 15, x + y = 9. Find y.
  18. 18.2y = 14, x + y = 11. Find x.
  19. 19.x + y = 25, x - y = 5. Find x.
  20. 20.x + y = 25, x - y = 5. Find y.
Show answer key
  1. 1.x + y = 10, x - y = 4. Find x. Answer: 7
  2. 2.x + y = 10, x - y = 4. Find y. Answer: 3
  3. 3.2x + y = 12, x = 4. Find y. Answer: 4
  4. 4.x + 2y = 14, y = 3. Find x. Answer: 8
  5. 5.x + y = 8, x - y = 2. Find x. Answer: 5
  6. 6.x + y = 8, x - y = 2. Find y. Answer: 3
  7. 7.3x + y = 19, x = 5. Find y. Answer: 4
  8. 8.x + 3y = 21, y = 6. Find x. Answer: 3
  9. 9.x + y = 15, 2x = 20. Find y. Answer: 5
  10. 10.x + y = 20, x = y. Find x. Answer: 10
  11. 11.2x + y = 16, x = 6. Find y. Answer: 4
  12. 12.x + 4y = 25, y = 5. Find x. Answer: 5
  13. 13.x + y = 12, x - y = 6. Find x. Answer: 9
  14. 14.x + y = 12, x - y = 6. Find y. Answer: 3
  15. 15.x + y = 18, y = 2x. Find x. Answer: 6
  16. 16.x + y = 18, y = 2x. Find y. Answer: 12
  17. 17.3x = 15, x + y = 9. Find y. Answer: 4
  18. 18.2y = 14, x + y = 11. Find x. Answer: 4
  19. 19.x + y = 25, x - y = 5. Find x. Answer: 15
  20. 20.x + y = 25, x - y = 5. Find y. Answer: 10

About This Practice

This practice set includes 20 systems of equations problems. Solving systems is essential for problems involving two unknowns.

Want more practice? See all Grade 8 practice →