Simultaneous Equations (VCE SSCE Mathematical Methods): Flashcards
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Linear equation w/ 2 unknowns represents
Linear equation w/ 2 unknowns represents
Relationship between pairs satisfying it
Intersection of 2 non-parallel lines
Intersection of 2 non-parallel lines
One unique pair satisfying both equations
Substitution method
Substitution method
Express 1 var in terms of other, sub into 2nd eq
Elimination method
Elimination method
Add/subtract equations to eliminate one variable
First step of substitution method
First step of substitution method
Rearrange 1 eq to make 1 variable the subject
After eliminating a variable (elimination method)
After eliminating a variable (elimination method)
Solve resulting equation for remaining variable
Lines with different gradients give
Lines with different gradients give
Unique solution (intersect at 1 point)
Same gradient, different -intercepts give
Same gradient, different -intercepts give
No solutions (parallel lines)
One equation is multiple of the other gives
One equation is multiple of the other gives
Infinitely many solutions (same line)
Key first step in word problems w/ simultaneous eq
Key first step in word problems w/ simultaneous eq
Carefully define your variables