Solving Simultaneous Equations (Grade 10 NSC Matric Mathematics): Flashcards
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What are simultaneous equations?
What are simultaneous equations?
Set of equations solved together to find unknown variable values
What must a solution to simultaneous equations satisfy?
What must a solution to simultaneous equations satisfy?
Both equations at the same time
Define the substitution method
Define the substitution method
Express one variable in terms of another, then replace it
First step in substitution method
First step in substitution method
Rearrange simpler equation to isolate one variable
Define the elimination method
Define the elimination method
Make coefficients equal, then add/subtract to eliminate variable
In elimination: when to subtract equations?
In elimination: when to subtract equations?
When coefficients of variable to eliminate have the same sign
What does graphical solution method involve?
What does graphical solution method involve?
Plotting both equations as lines and finding their intersection
What do intersection coordinates give in graphical method?
What do intersection coordinates give in graphical method?
The solution to the simultaneous equations
When is substitution method particularly useful?
When is substitution method particularly useful?
When an equation is easily rearranged to isolate a variable
Why check solution in both original equations?
Why check solution in both original equations?
To verify both equations are satisfied by the solution values