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2 January, 12:43

Does 0.9x+5.1x-7=2 (2.5x-3) have no solution many solutions or one solution?

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  1. 2 January, 12:58
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    This equation has ONE unique solution, which is x = 1.

    Step-by-step explanation:

    Let's actually solve this equation, 0.9x+5.1x-7=2 (2.5x-3).

    Mult. all four terms by 10 to eliminate the fractions:

    9x+51x-70=2 (25x-30)

    Perform the indicated multiplication:

    9x+51x-70 = 50x - 60

    Combine like terms: 60x - 70 = 50x - 60 = > 10x = 10, and x = 1

    This equation has ONE unique solution, which is x = 1.
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