Simultaneous Equations (Leaving Cert Mathematics): Flashcards

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Linear Simultaneous Equations
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Simultaneous linear equations definition

Set of 2+ linear equations with multiple variables, solved together

Min. no. of equations in simultaneous set

Two or more

What solutions must satisfy

All equations simultaneously

Graph of 2 linear simultaneous equations

Two lines with a point of intersection

Point of intersection meaning

Point that satisfies both lines simultaneously

Two methods to solve simultaneous equations

Elimination and Substitution

Elimination method does what?

Eliminates one variable

Substitution method first step

Solve for one variable

In elimination, how to match coefficients?

Multiply equations by appropriate numbers

In substitution, after solving for variable

Substitute expression into other equation

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