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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