0.3 Linear equations and reasoning
Unit 0 · Textbook foundations: equations, lines and systems
Ideas in this lesson
Variables on both sides
Use equivalent operations on both sides to collect variable terms.
Equations with fractional coefficients
Multiply every term by a common denominator and check the original equation.
One, no, or infinitely many solutions
An identity is true for all inputs; a contradiction has no solutions.
Justify an equation-solving step
An operation preserves equality only when applied to both sides.
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