Solve a system of linear equations graphically.
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This lesson builds on work that students have done in grade 8 with systems of linear equations. Solving by graphing is taught first in this series on systems to provide a basis for systems of linear inequalities in the next lesson.
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Draw a system of linear equations with a solution of $${(-1,3)}$$.
You work for a video streaming company that has two monthly plans to choose from:
Write and graph an equation for each plan on a coordinate plane.
Video Streaming, accessed on Oct. 19, 2017, 3:27 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
Modified by The Match Foundation, Inc.What is the solution to the systems shown below?
$${\left\{\begin{matrix}y=3x+2 \\ 2y=6x-8 \end{matrix}\right.}$$
Change the system so that it has ALL the same solutions.
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Construct a system of two linear equations where $${(-2,3)}$$ is a solution to the first equation but not the second equation and where $${(5,-2)}$$ is a solution to the system.
Find a System, accessed on Oct. 19, 2017, 3:39 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
Modified by The Match Foundation, Inc.