Simultaneous equations (OCR GCSE Maths): Flashcards

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Simultaneous equations
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Simultaneous equations involve

Two equations with two unknown letters

Key requirement for solutions

Values must make both equations balance

Standard format for simultaneous eqs

ax+by=cax+by=c

Purpose of aligning equations

To line up unknown letters vertically

Key letter definition

Variable chosen to eliminate

When to subtract equations

When key letters have same sign

When to add equations

When key letters have opposite signs

After finding first variable

Substitute back into original equation

Final step in solving

Check answer in both equations

Making coefficients same for key letter

Multiply equations if needed

First step: quadratic simultaneous eqs

Re-arrange linear eq to isolate variable

After isolating in linear equation

Substitute into quadratic equation

Solutions from quadratic simultaneous

Two possible values

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