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17 December, 20:00

Write an explanation for both Part A and Part B using 3-4 complete sentences. Part A: Explain how you can determine if a system of equations will have no solution when comparing the graph of the equations. Part B: Explain how you can determine if a system of equations has no solution by comparing each algebraic equation. Be sure that your explanation includes 3 of the 4 words below: parallel, slope, y-intercept, slope intercept form

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  1. 17 December, 21:39
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    Step-by-step explanation:

    Part A : when comparing graphs : A system of equations will have no solutions (on a graph) when your lines never cross each other. They never cross each other because your lines are parallel.

    Part B : by comparing each algebraic equation : A system of equations will have no solution if your lines are parallel. Parallel lines will have the same slope but different y intercepts. Example:

    2x - y = 2

    4x - 2y = 8

    put both equations in slope intercept form

    y = 2x - 2

    y = 2x - 4

    they both have the same slope of 2 ... and the y intercepts are different ... meaning they are parallel lines and have no solutions
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