Grade 7–9Curriculum · Maths: algebra
Systems of Equations — Worksheets with Answers
Practise solving two equations with two unknowns, with whole-number solutions every time.
A ready worksheet is waiting below — print it as is or change the settings.
Topics on this worksheet
Areas on this sheet
- Algebra · 20Algebraic expressions, equations and systems of equations, square rules.
Systems of equations · 14-16 years
Name: ____________________Answer key
- 1. x = 0, y = 0
- 2. x = −3, y = −3
- 3. x = 0, y = 2
- 4. x = 6, y = −5
- 5. x = 1, y = −3
- 6. x = 8, y = 7
- 7. x = 0, y = 3
- 8. x = −2, y = 5
- 9. x = 0, y = 2
- 10. x = 2, y = 7
- 11. x = −5, y = −5
- 12. x = 0, y = 0
- 13. x = 7, y = −2
- 14. x = 7, y = 8
- 15. x = 8, y = 3
- 16. x = 0, y = −2
- 17. x = −2, y = −3
- 18. x = 8, y = −5
- 19. x = −5, y = 7
- 20. x = 5, y = −2
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How to use the tool
- Choose the exercise type systems of equations.
- Pick age group 12–14 or 14–16, difficulty and calculations, word problems or a mix.
- Print or save as PDF. “Create New Version” gives new numbers with a matching answer key.
About this generator
A system of equations asks for the x and y that make two equations true at the same time. The easier level uses x + y and x − y so elimination is quick. Harder levels use other coefficients that call for substitution or multiplying an equation first. All solutions are whole numbers so pupils can check their work. The answer key is calculated by the website, so it always matches the tasks. No sign-up is needed and no personal data is collected.
Popular uses
- Substitution and elimination
- Grade 9 algebra
- Revision before exams
- Homework with answer key
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Frequently asked questions
- What is the elimination method?
- Add or subtract the equations so one unknown disappears, then solve for the other.
- How do I check my answer?
- Put x and y into both equations; both must be true.