Gwendolyn is asked to solve the equation –4(x – 3) = 20. She shows the work below and states that the solution is x = –8. –4(x – 3) = 20 –4x

Question

Gwendolyn is asked to solve the equation –4(x – 3) = 20. She shows the work below and states that the solution is x = –8. –4(x – 3) = 20 –4x + 12 = 20 –4x = 32 x = –8 Unfortunately, Gwendolyn’s work is flawed. Explain the flaw in Gwendolyn’s work. Determine the correct solution to the equation.

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Dâu 4 years 2021-09-03T05:00:10+00:00 2 Answers 5 views 0

Answers ( )

  1. Sigrid
    0
    2021-09-03T05:01:15+00:00
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    Answer:

    f  bfgdbffb

    Step-by-step explanation:

    vbfDBVDFBDzdfzdf

  2. thienhuong
    0
    2021-09-03T05:01:20+00:00
    Reply

    Answer:

    x=-2

    Step-by-step explanation:

    Given: Equation is -4(x-3)=20

    To find: flaw in Gwendolyn’s work and the correct solution to the equation.

    Solution:

    In the given question,

    the first step is -4(x-3)=20

    The second step is -4x+12=20

    (This step is obtained on multiplying -4 by x-3)

    The third step is -4x=32

    This step is wrong as on transposing 12 from left side of the equation in the second step to the right side, the following equation is obtained:

    -4x=20-12\\-4x=8\\x=-2

    So, the correct solution is x=-2

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