Systems of Linear Equations (HSC SSCE Mathematics Advanced): Flashcards

📚Flashcards
Systems of Linear Equations
Sign up to keep revising.Create a free account to study more flashcards and track your progress.

Practise the cards

10 cards from this deck

Show

Definition of a linear equation

Equation where variables are raised to first power only

General form: linear equation in one variable

ax+b=cax + b = c

Main technique to solve linear equations

Use inverse operations to isolate the variable

Best approach for equations with fractions

Multiply all terms by LCM of denominators

System of equations

Two or more equations with two or more variables

Meaning of 'solving a system'

Find values satisfying all equations simultaneously

How substitution method works

Isolate one variable, substitute into other equation

How elimination method works

Combine equations to eliminate one variable

Elimination: when to add equations

When coefficients have opposite signs

Why verify solutions?

Check they satisfy all original equations

Join 100,000+ SSCE students studying Flashcards with us.

Select your subjects, and get access to A+ resources today.