Скачать или смотреть Solving Systems of Linear Equations in Two Variables | Full Systems of Equations & Matrices Lesson

This lesson introduces systems of linear equations in two variables and methods for finding their solutions. It reviews linear equations, ordered pairs as solutions, and how graphs of lines represent independent, dependent, and inconsistent systems. Both substitution and elimination methods are demonstrated on multiple examples, including word problems and equations with fractions, with attention to identifying the type of solution from the algebraic work and the graph.

The Desmos graphing calculator is also used to visualize intersections, overlapping lines, and parallel lines. Desmos Online Graphing Calculator ➡️ https://www.desmos.com/calculator

0:00 Lesson Intro
1:33 Example Graphs of Linear Equations
2:30 Steps to Solve Systems of Linear Equations
3:47 Possible Types of Solutions
4:44 Visual Graph of Independent System (One Solution)
5:56 Visual Graph of Dependent System (Infinitely Many Solutions)
7:00 Visual Graph of Inconsistent System (No Solution)
7:46 Example: Substitution Method
15:12 Example: Elimination Method
23:37 Example: Infinitely Many Solutions
32:45 Example: No Solution
39:15 Example: Linear Equations w/Fractions
52:43 Common Mistakes
53:22 Key Takeaways

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