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4 May, 07:23

Which equation is an identity?

A. 7m - 2 = 8m + 4 - m

B. 8y + 9 = 8y - 3

C. 11 - (2v + 3) = - 2v - 8

D. 5w + 8 - w = 6w - 2 (w - 4)

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Answers (1)
  1. 4 May, 07:47
    0
    An identity is obtained when you substitute any value of x to an equation, both sides will give out the same answer. A trial-and-error method is best used for questions like these. The method is shown below:

    Let: 1 = m = y = v = w

    A. 7m - 2 = 8m + 4 - m

    7 (1) - 2 = 8 (1) + 4 - (1)

    5 = / = 11

    B. 8y + 9 = 8y - 3

    8 (1) + 9 = 8 (1) - 3

    17 = / = 5

    C. 11 - (2v + 3) = - 2v - 8

    11 - (2 (1) + 3) = - 2 (1) - 8

    6 = / = - 10

    D. 5w + 8 - w = 6w - 2 (w - 4)

    5 (1) + 8 - 1 = 6 (1) - 2 (1 - 4)

    12 = 12

    Therefore, the choice D is the identity.
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