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References: Systems of Equations and Inequalities

  1. System of linear equations - Wikipedia - Comprehensive overview of linear systems, including geometric interpretation, solution existence, and classification as consistent, inconsistent, or dependent, foundational to this chapter's core topic.

  2. Linear inequality - Wikipedia - Explains linear inequalities in one and two variables, boundary lines, and half-plane regions, directly supporting the chapter's coverage of systems of inequalities and boundary lines.

  3. Feasible region - Wikipedia - Describes how overlapping regions from multiple inequalities define a set of feasible solutions, matching the chapter's treatment of solution regions for systems of inequalities.

  4. Big Ideas Math: Algebra 1 - Ron Larson and Laurie Boswell - Big Ideas Learning - Chapter on systems of linear equations presents graphing, substitution, and elimination side by side with worked examples and real-world application problems used throughout this chapter.

  5. Glencoe Algebra 1 (Common Core Edition) - Carter, Cuevas, Day, Malloy, and Holliday - McGraw-Hill Education - Provides a full unit on solving and graphing systems of equations and inequalities, including consistent/inconsistent and independent/dependent classification with practice sets.

  6. Systems of Linear Equations - Math is Fun - Introduces systems of equations, then walks through substitution and elimination methods with clear examples, matching the chapter's step-by-step approach to these two algebraic solution methods.

  7. Systems of Linear Equations: Solving by Graphing - Purplemath - Demonstrates how a solution corresponds to the intersection point of two graphed lines, verified by substitution, directly supporting the chapter's graphing method section.

  8. Systems of Linear Inequalities: Solving by Graphing - Purplemath - Walks through graphing multiple inequalities on one plane, using solid versus dashed boundary lines and shading to find the overlapping solution region described in this chapter.

  9. Graphical Solution of Linear Inequalities in Two Variables - GeeksforGeeks - Explains how a boundary line divides the plane into half-planes and how test points determine the shaded solution side, reinforcing the chapter's boundary line and solution region concepts.

  10. Solving Systems of Equations: Graphing, Substitution, Elimination - Lumen Learning - Compares all three solution methods and classifies systems as independent, inconsistent, or dependent, mirroring the exact structure and methods taught in this chapter.