Algebra › Section D · Systems of linear equations › Topic D.5
Systems with three variables
Three unknowns sound intimidating, but the pattern holds: one fact pins down one number, so three facts pin down three. The method is a graceful repeat of what you already know — eliminate until the system shrinks.
In this topic
- Three facts, three numbers
- Solutions are ordered triples
- Three planes meet at a point
- The strategy: shrink three to two
- Worked example: solving a 3×3 system
- Special cases announced by the algebra
- Applications: one equation per condition
- Worked example: three kinds of tickets
- Common mistakes to avoid
- Key takeaways
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