Writing and Solving a System of Equations (by graphing)

Writing and Solving a System of Equations (by graphing)
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Students write equations in slope intercept form to represent a real world situation.

Students define the variables, write the equations, title and label a graph and then use the y-intercept and slope to graph each equation. In the end, students identify and interpret the point of intersection.

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Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3𝘹 + 2𝘺 = 5 and 3𝘹 + 2𝘺 = 6 have no solution because 3𝘹 + 2𝘺 cannot simultaneously be 5 and 6.
Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
Analyze and solve pairs of simultaneous linear equations.
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