Simultaneous Equations (Grade 12 NSC Matric Mathematics): Flashcards

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Simultaneous Equations
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Simultaneous equations definition

Sets of equations solved together for unknown variable values

Two main types of simultaneous equations

Linear-linear and linear-quadratic

Solutions represent what geometrically

Points where graphs intersect

Method for linear-quadratic systems

Substitution method

Which equation to use first in linear-quadratic substitution

The linear equation

Typical solutions for linear-quadratic systems

Two solution points

Methods available for linear-linear systems

Substitution or elimination method

Advantage of algebraic solutions over graphical

More accurate than reading coordinates from graphs

Key technique when solving resulting quadratics

Factorisation

Format for writing final answers

Coordinate pairs as (x,y)(x, y)

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