Linear Simultaneous Equations (Leaving Cert Mathematics): Flashcards
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Simultaneous linear equations definition
Simultaneous linear equations definition
Set of 2+ linear equations with multiple variables, solved together
Min. no. of equations in simultaneous set
Min. no. of equations in simultaneous set
Two or more
What solutions must satisfy
What solutions must satisfy
All equations simultaneously
Graph of 2 linear simultaneous equations
Graph of 2 linear simultaneous equations
Two lines with a point of intersection
Point of intersection meaning
Point of intersection meaning
Point that satisfies both lines simultaneously
Two methods to solve simultaneous equations
Two methods to solve simultaneous equations
Elimination and Substitution
Elimination method does what?
Elimination method does what?
Eliminates one variable
Substitution method first step
Substitution method first step
Solve for one variable
In elimination, how to match coefficients?
In elimination, how to match coefficients?
Multiply equations by appropriate numbers
In substitution, after solving for variable
In substitution, after solving for variable
Substitute expression into other equation