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17 December, 06:14

What values should A and B have so that the next system of equations has an infinite amount of solutions?

Ax - 7y = - 18

8x - By = - 9A

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  1. 17 December, 06:28
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    for the system to have an infinite amount of solutions, the equations must be equal

    Ax - 7y = - 18

    8x - By = - 9A

    a/8 = - 7/-b = - 18/-9a

    a/8 = 7/b = 2/a

    using cross products

    a^2 = 16

    a = 4

    then

    4/8 = 7/b

    4b = 56

    b = 56/4 = 14
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