Algebra

GCSE Maths: Simultaneous Equations

Practise GCSE Maths simultaneous equations using elimination and substitution methods, including non-linear pairs. AQA, Edexcel and OCR.

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Key Concepts in Simultaneous Equations

  • Elimination method
  • Substitution method
  • Graphical method
  • Linear and non-linear simultaneous equations
  • Forming simultaneous equations from problems

Exam Tips for Simultaneous Equations

  • ๐Ÿ’กElimination works best when coefficients can be made equal by multiplication
  • ๐Ÿ’กSubstitution is best when one equation is already solved for one variable
  • ๐Ÿ’กCheck your solution satisfies both original equations

Exam Board Coverage

Simultaneous Equations appears on all major GCSE Maths exam boards at both Foundation and Higher tier.

AQA
Edexcel
OCR

Frequently Asked Questions

What is the elimination method?

Multiply one or both equations so that the coefficient of one variable is the same, then add or subtract the equations to eliminate that variable.

How do I solve non-linear simultaneous equations?

Use substitution โ€” substitute the linear equation into the quadratic/circular equation, then solve the resulting quadratic.