Simultaneous Equations (Grade 11 NSC Matric Mathematics): Flashcards
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Simultaneous equations definition
Simultaneous equations definition
System of equations solved together to find unknown variables
Equations needed for n unknowns
Equations needed for n unknowns
n independent equations
Three methods for solving simultaneous equations
Three methods for solving simultaneous equations
Substitution, elimination, graphical
Substitution method process
Substitution method process
Express one variable in terms of another and substitute
Elimination method process
Elimination method process
Make coefficients equal and eliminate one variable
Graphical method process
Graphical method process
Plot both equations and find intersection points
When to use substitution method
When to use substitution method
When one equation is easily rearranged (esp. linear)
When to use elimination method
When to use elimination method
When coefficients can be easily matched
Key exam strategy for simultaneous equations
Key exam strategy for simultaneous equations
Always check solutions by substituting into both equations
What graphical solutions show
What graphical solutions show
Geometric relationship between equations and intersections