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7 November, 02:12

How many solutions does 3/4 (24-16x) = -2/3 (18x-27) have?

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  1. 7 November, 05:20
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    Step-by-step explanation:

    Answer: An infinite number

    Multiply both sides of the equation by 12

    12 [ 3/4 (24 - 16x) = - 2/3 (18x - 27) ]

    3*3 (24 - 16x) = - 2 * 4 (18x - 27)

    9 (24 - 16x) = - 8 (18x - 27)

    Remove the brackets.

    216 - 144x = - 144x + 216

    Any value for x will preserve the equality. Nice problem.
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