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Try these simultaneous equations practice questions to make sure you’re ready for your GCSE maths exams. These questions get steadily more difficult and include both the elimination and substitution methods. Check out our simultaneous equations revision guide if you need to revise the methods before trying these questions. You can also contact us directly to ask any questions and book a one-to-one lesson with an expert maths tutors.

Elimination Method

Solve the following simultaneous equations using the elimination method: 

Simultaneous Equations GCSE practice questions

The next set of questions are a little trickier. Just keep using the same elimination method and you’ll be fine. Watch out for the different positive and negative terms in the questions.

Elimination method

Simultaneous Equations Practice Questions – Substitution Method

Now use the substitution method to solve these simultaneous equations. Again, remember to take a look at our revision guide on this topic if you get stuck with this method.

Substitution method

Take a look at the answers to these questions below. How did you get on? Simultaneous equations can appear quite difficult at first, but once you’ve practised the methods it should get much easier. You might find BBC bitesize quite useful again to keep practising this method.

You can revise many other GCSE maths topics online and for free with our revision resources. If you need any further help then remember to contact us directly with any questions. You can use the button below to book a free GCSE maths consultation. We’ll offer some free personalised advice for you and you can arrange a one-to-one lesson with one of our tutors.

Answers

  1. x = 2 and y = 3
  2. y=1 and x = 5
  3. x = 3 and y = 4
  4. a = 6 and b = 4
  5. a = 2 and b = 7
  6. l = -1 and m = 5
  7. y = 9 and x = -3
  8. a = 3 and b = 1
  9. x = 4 and y = 3
  10. x = 6 and y = 11
  11. y = 3 and x = 5
  12. x = 4 and y = 1
  13. x = 6 and y = 4
  14. a = 5 and b = 3
  15. y = 2 and x = 10

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