Simultaneous Equations (Junior Cert Mathematics): Flashcards
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Definition of simultaneous equations
Definition of simultaneous equations
Set of 2 or more equations with shared variables
Goal when solving simultaneous equations
Goal when solving simultaneous equations
Find values that make all equations true at same time
Real-life use of simultaneous equations
Real-life use of simultaneous equations
Finding intersection point of two lines on a graph
Common method at Junior Cycle level
Common method at Junior Cycle level
Elimination method
Elimination method concept
Elimination method concept
Add/subtract equations so one variable cancels out
Step 1 in elimination method
Step 1 in elimination method
Label the equations
Step 2 in elimination method
Step 2 in elimination method
Multiply to make one variable's coefficients same
Step 3 in elimination method
Step 3 in elimination method
Add equations to eliminate one variable
Step 4 in elimination method
Step 4 in elimination method
Solve for the remaining variable
Step 5 in elimination method
Step 5 in elimination method
Substitute back to find the other variable
Step 6 in elimination method
Step 6 in elimination method
Check solutions in original equations
Purpose of checking solutions
Purpose of checking solutions
Verify solutions work in both original equations
