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GCSE Mathematics · key term
A method that combines equations by addition or subtraction so that one variable cancels.
Used by AQA, Edexcel and OCR
Specification A19 · Paper 1, Paper 2, Paper 3
An algebraic method in which equations are added or subtracted so that one variable disappears.
Revise: Simultaneous EquationsThe main algebraic method for a linear–linear pair is elimination: arrange for one variable to have equal or opposite coefficients, then add or subtract the equations so that variable disappears.
Specification A19 · Paper 1, Paper 2, Paper 3
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When both equations are linear, elimination is often quickest. Add or subtract equivalent equations so that one variable disappears.
Specification 6.03c · Paper 1 (Foundation), Paper 2 (Foundation), Paper 3 (Foundation), Paper 4 (Higher), Paper 5 (Higher), Paper 6 (Higher)
A method that combines equations so that one variable cancels, leaving an equation in one variable.
Revise: Simultaneous EquationsThere are two main algebraic methods: elimination and substitution. Both reduce two equations in two variables to one equation in one variable.