Simultaneous Equations (Junior Cert Mathematics): Flashcards
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12 cards from this deck
What are simultaneous equations?
What are simultaneous equations?
A set of 2+ equations that share the same variables
What is the goal of solving simultaneous equations?
What is the goal of solving simultaneous equations?
Find values that make all equations true at the same time
Real-life use of simultaneous equations
Real-life use of simultaneous equations
Finding the point where two lines intersect on a graph
What method is commonly used at Junior Cycle?
What method is commonly used at Junior Cycle?
Elimination method
What does the elimination method involve?
What does the elimination method involve?
Adding/subtracting equations to cancel one variable
Step 1: Elimination method
Step 1: Elimination method
Label the equations
Step 2: Elimination method
Step 2: Elimination method
Multiply equations to make one variable cancel out
Step 3: Elimination method
Step 3: Elimination method
Add equations to eliminate one variable
Step 4: Elimination method
Step 4: Elimination method
Solve for the remaining variable
Step 5: Elimination method
Step 5: Elimination method
Substitute back to find the other variable
Step 6: Elimination method
Step 6: Elimination method
Check your solutions
Why check solutions in simultaneous equations?
Why check solutions in simultaneous equations?
To ensure solutions satisfy both original equations