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27 May, 09:29

A is a constant. Find A such that the equation 2x + 1 = 2A + 3 (x + A) has a solution at x = 2.

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  1. 27 May, 09:45
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    2x + 1 = 2A + 3 (x + A)

    You want x=2 to be a solution.

    So the equation will be a true statement when

    2 (2) + 1 = 2A + 3 (2 + A)

    4 + 1 = 2A + 6 + 3A

    Combine like terms: 5 = 5A + 6

    Subtract 6 from each side: - 1 = 5A

    Divide each side by 5: - 0.2 = A
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