0.8 Linear systems
Unit 0 · Textbook foundations: equations, lines and systems
Ideas in this lesson
Solve a two-variable system
Eliminate one variable and substitute back into an original equation.
Classify a linear system
Compare multiples of the two equations to distinguish an identity and a contradiction.
Solve a three-variable system
Use substitution or elimination and check all original equations.
Eliminate with coefficient multiples
Scale equations before subtracting to eliminate a variable; check both original equations.
Build a contextual system
Write one equation for the item count and another for the total cost.
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