Simultaneous Equations (Junior Cert Mathematics): Flashcards

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Simultaneous Equations
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Definition of simultaneous equations

Set of 2 or more equations with shared variables

Goal when solving simultaneous equations

Find values that make all equations true at same time

Real-life use of simultaneous equations

Finding intersection point of two lines on a graph

Common method at Junior Cycle level

Elimination method

Elimination method concept

Add/subtract equations so one variable cancels out

Step 1 in elimination method

Label the equations

Step 2 in elimination method

Multiply to make one variable's coefficients same

Step 3 in elimination method

Add equations to eliminate one variable

Step 4 in elimination method

Solve for the remaining variable

Step 5 in elimination method

Substitute back to find the other variable

Step 6 in elimination method

Check solutions in original equations

Purpose of checking solutions

Verify solutions work in both original equations

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