Algebra › Section D · Systems of linear equations › Topic D.1
Systems by graphing and substitution
One equation in two variables leaves a whole line of possibilities. Add a second equation and the line narrows to a point — two facts pin down two unknowns, and this topic delivers the two basic ways to find that point.
In this topic
- Two facts, one point
- The graph of a system
- Three possible outcomes
- Classifying without graphing
- Worked example: solving by substitution
- Choosing what to isolate
- Special cases inside substitution
- Checking solutions
- Worked example: concert tickets
- Common mistakes to avoid
- Key takeaways
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