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14 August, 18:46

The equation $y+4x=100$ represents your distance y (in meters) from the finish line x seconds after you begin your leg of a relay race. The equation $y+3.8x=97$ represents your opponent's distance from the finish line. How far do you need to run until you catch up to your opponent?

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  1. 14 August, 19:03
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    3 metres

    Step-by-step explanation:

    If y = distance (in meters) from the finish line

    x = time in seconds after the beginning of the leg of relay race.

    At x=0, when the race has not started,

    From the runner's equation

    y+4 (0) = 100

    y=100 metres

    Also, from his opponent's equation

    y+3.8x=97

    y + (3.8X0) = 97

    y=97

    The distance needed by the runner to catch up to his opponent

    = 100-97 = 3 metres
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