Wich of following are solutions to |x+3|= 4x -7 Answer x= 10/3

Question

Wich of following are solutions to |x+3|= 4x -7
Answer x= 10/3

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Amara 6 days 2021-10-12T11:48:44+00:00 1 Answer 0

Answers ( )

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    2021-10-12T11:49:58+00:00

    Answer:

    10/3

    Step-by-step explanation:

    |x+3|=4x-7

    So |-(x+3)|=|x+3|

    We are going to try out two cases:

    -(x+3)=4x-7                              and    x+3=4x-7

    -x-3=4x-7                                               3=3x-7

     -3=5x-7                                               10=3x

      4=5x                                                   x=10/3

      x=4/5

    We are going to test out both because we could something that isn’t actually a solution, this is called extraneous.

    First thing I’m going to check is 4x-7 for it being positive.

    4(4/5)-7=20/5-7=-15/5=-3 so 4/5 will not work because absolute value result can’t be negative

    4(10/3)-7=40/3-7=19/3 which is positive

    checking |x+3| to see if is 19/3 for x=10/3 we see that is so that is the answer

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