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30 October, 05:55

What are the coordinates (x, y) at which the graphs of 2x + 3y = 12 and 2x - y = 4 intersect?

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  1. 30 October, 09:23
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    2x + 3y = 12

    2x - y = 4 so y = 2x - 4

    substitute y = 2x - 4 into 2x + 3y = 12

    2x + 3y = 12

    2x + 3 (2x - 4) = 12

    2x + 6x - 12 = 12

    8x = 24

    x = 3

    y = 2x - 4 = 2 (3) - 4 = 2

    (3,2)

    answer

    the coordinates (3,2)
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