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Solving Linear Systems of Equations Graphically

Source: Marble - Raycat/E+/Getty Images

Venn Diagrams

 

https://medium.com/@jeremyjkun/here-s-just-a-fraction-of-what-you-can-do-with-linear-algebra-633383d4153f

 

graphics - video games, animations, movies

 

https://jeremykun.com/2011/06/12/googles-pagerank-introduction/ 

how google ranks websites "...then we'll compute importance of every web page simultaneously be solving a (very large) system of linear equations"...

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Lesson Goals

  • Define systems of equations and understand what it means to "solve" one.
  • Identify the various ways a system of two linear equations can intersect.
  • Solve linear systems of equations involving two variables graphically. 

Try This

Debra is using a piece of grid paper to design a triangular logo. The triangle she draws is bounded by the lines \(y=-2x+2\), \(y=2x-2\), and \(y=4\). Determine the area of the isosceles triangle in square units.