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Brilliant

Linear Systems

via Brilliant

Overview

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In this course, you'll learn to solve systems of two linear equations by exploring situations where two constraints must be satisfied at the same time. You'll start by interpreting real-world scenarios with two unknowns, then move to graphing lines and finding their intersection. You'll solve systems algebraically using substitution and elimination, and learn to recognize when a system has no solution or infinitely many solutions. Finally, you'll extend these ideas to systems of inequalities, identifying and graphing the regions where multiple constraints overlap.

Syllabus

  • Systems of Equations
    • Solving Systems by Graphing
      • Solving Systems with Algebra
        • Systems of Inequalities
          • Solving Systems of Inequalities

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