Chapter 5: Systems of Equations and Inequalities
The whole is more than the sum of its parts.
— Aristotle
Why This Matters
Real problems rarely involve a single equation. They involve systems — multiple equations that must all be true simultaneously.
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Supply meets demand at equilibrium
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Multiple forces balance at rest
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Circuits obey Kirchhoff’s laws at every junction
Solving systems is finding where constraints intersect.
Sections
| Section | Topic | Key Skill | Status |
|---|---|---|---|
Systems in Two Variables |
Substitution, elimination |
[ ] Not Started |
|
Systems in Three Variables |
Extended elimination |
[ ] Not Started |
|
Partial Fraction Decomposition |
Break apart fractions |
[ ] Not Started |
|
Systems of Nonlinear Equations |
Substitution strategies |
[ ] Not Started |
|
Systems of Inequalities |
Graph solution regions |
[ ] Not Started |
|
Linear Programming |
Optimize over constraints |
[ ] Not Started |