Systems of Linear Equations (HSC SSCE Mathematics Advanced): Flashcards
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Definition of a linear equation
Definition of a linear equation
Equation where variables are raised to first power only
General form: linear equation in one variable
General form: linear equation in one variable
Main technique to solve linear equations
Main technique to solve linear equations
Use inverse operations to isolate the variable
Best approach for equations with fractions
Best approach for equations with fractions
Multiply all terms by LCM of denominators
System of equations
System of equations
Two or more equations with two or more variables
Meaning of 'solving a system'
Meaning of 'solving a system'
Find values satisfying all equations simultaneously
How substitution method works
How substitution method works
Isolate one variable, substitute into other equation
How elimination method works
How elimination method works
Combine equations to eliminate one variable
Elimination: when to add equations
Elimination: when to add equations
When coefficients have opposite signs
Why verify solutions?
Why verify solutions?
Check they satisfy all original equations
