Simultaneous Equations (Edexcel GCSE Maths): Flashcards

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Simultaneous equations
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What are simultaneous equations?

A pair of equations solved together for two unknown variables

Meaning of 'simultaneous'

At the same time

Two types of simultaneous equations

Easy (two linear) and tricky (one linear, one quadratic)

'Easy' simultaneous equations

Two linear equations (unknowns to first power only)

'Tricky' simultaneous equations

One linear and one quadratic equation

Method for easy simultaneous equations

Elimination method

Method for tricky simultaneous equations

Substitution method

What is the elimination method?

Match coefficients, then add or subtract to eliminate a variable

Standard form of linear equation

ax+by=cax + by = c

When to subtract in elimination method

When coefficients have the same sign

When to add in elimination method

When coefficients have opposite signs

How many solutions do tricky equations give?

Two different solutions (pairs of values)

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