Algebra › Section D · Systems of linear equations › Topic D.2
Systems by elimination
Graphing estimates and substitution rewrites; elimination attacks. Adding or subtracting whole equations cancels one variable outright, which is often the fastest route when nothing is easy to isolate.
In this topic
- The third method
- Adding when coefficients are opposites
- Subtracting when coefficients are equal
- Multiplying to match
- Worked example: scaling both equations
- Worked example: when everything cancels
- Choosing the most convenient method
- Back-substitute, then check both
- Common mistakes to avoid
- Key takeaways
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