Simultaneous Equations (Leaving Cert Mathematics): Flashcards

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Simultaneous Equations
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What are simultaneous equations?

Two or more equations satisfied by same variable values

Key requirement of solution in simultaneous eqs

Must satisfy all equations in the system

Primary solving method for simultaneous eqs

Elimination method

What elimination method does

Eliminates one variable to solve for the other

Most critical step in elimination method

Make coefficients equal for one variable

How to eliminate variable after equal coefficients

Add or subtract the equations

Step after finding first variable

Substitute back into original equation

How to clear fractions from equations

Multiply through by LCM of denominators

Choosing which variable to eliminate

One requiring least manipulation

Why verify your solution

Check values satisfy both original equations

First step in elimination method

Number the equations

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