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28 April, 15:48

Which statement is true? A. 2x - 1 = 13 and x = 6 B. 2x - 1 = 13 and x = 7 C. 2x + 1 = 13 and x = 7 D. 2x - 1 = 13 and x = 11

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  1. 28 April, 17:48
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    B. 2x - 1 = 13 and x = 7

    Step-by-step explanation:

    We are given 4 equations and a solution for each. We have to tell which of the given solution satisfies the given equation.

    Option A.

    2x - 1 = 13 and x = 6

    Using this value in the equation, we get:

    2 (6) - 1 = 13

    12 - 1 = 13

    11 = 13, which is not true. Hence this option is not valid

    Option B.

    2x - 1 = 13 and x = 7

    Using the value in the equation, we get:

    2 (7) - 1 = 13

    14 - 1 = 13

    13 = 13, which is true. Hence this option is valid.

    Option C.

    2x + 1 = 13 and x = 7

    Using the value in the equation, we get:

    2 (7) + 1 = 13

    15 = 13, which is not true. So this option is not valid

    Option D.

    2x - 1 = 13 and x = 11

    Using this value in the equation, we get:

    2 (11) - 1 = 13

    21 = 13, which is not true. Hence this option is not valid.
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