Simultaneous Equations (AQA GCSE Maths): Flashcards

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Simultaneous equations
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What are simultaneous equations?

Pairs of equations solved together to find variable values

Two types of simultaneous equations

Easy: both linear. Tricky: one linear, one quadratic

What do solutions represent in simultaneous equations?

Coordinates where graphs intersect

Method for linear simultaneous equations

Elimination method

Method for quadratic simultaneous equations

Substitution method

Standard form in elimination method

ax+by=cax + by = c

In elimination: when to subtract equations

When coefficients have the same sign

In elimination: when to add equations

When coefficients have opposite signs

Solutions: linear vs quadratic simultaneous equations

Linear: 1 solution. Quadratic: typically 2 solutions

Why always check answers in simultaneous equations?

Catches errors and confirms solution is correct

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