Is the equation -2(4-x)=2x+8 an identity? Explain your reasoning. A. Yes, because solving the equation gives a s

Question

Is the equation -2(4-x)=2x+8 an identity? Explain your reasoning.

A. Yes, because solving the equation gives a statement that is never true.

B. Yes, because solving the equation gives a statement that is always true.

C. No, because solving the equation gives a statement that is never true.

D. No, because solving the equation gives a statement that is always true.

help I don’t know what an identity is or how to explain

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Kim Cúc 5 months 2021-08-13T02:09:42+00:00 1 Answers 4 views 0

Answers ( )

    0
    2021-08-13T02:10:44+00:00

    Given:

    The equation is -2(4-x)=2x+8.

    To find:

    Whether the given equation is an identity or not.

    Solution:

    If both sides of an equation are equal for all values of variables, then it is called identity.

    We have,

    -2(4-x)=2x+8

    LHS=-2(4-x)

    LHS=-2(4)-2(-x)

    LHS=-8+2x

    LHS=2x-8

    Now,

    2x-8=2x+8

    On subtracting 2x from both sides, we get

    -8=8

    This statement is never true.

    LHS\neq RHS

    So, the given equation is not an identity because solving the equation gives a statement that is never true.

    Therefore, the correct option is C.

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