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25 December, 01:44

What's the answer to 4|p-3|=|2p+8|? And how do you check your answer?

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Answers (1)
  1. 25 December, 02:05
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    We want to solve 4|p-3| = |2p+8|

    Ths equation is equvalent to 4 equatons.

    Case 1.

    4 (p - 3) = 2p + 8

    4p - 12 = 2p + 8

    2p = 20

    Answer: p = 10

    Check the solution.

    4|p-3| = 4*7 = 28

    |2p+8| = 2*10+8 = 28

    The solution is correct.

    Case 2.

    4 (3 - p) = 2p + 8

    12 - 4p = 2p + 8

    4 = 6p

    Answer: p = 2/3

    Check the solution.

    4|p-3| = 4*| (2/3-3) | = 28/3

    |2p+8| = 28/3

    The solution is correct.

    Case 3.

    4 (p-3) = - 2p - 8

    4p - 12 = - 2p - 8

    6p = 4

    Answer: p = 2/3

    The solution is correct because it was checked in case 2.

    Case 4.

    4 (3 - p) = - 2p - 8

    12 - 4p = - 2p - 8

    20 = 2p

    Answer: p = 10

    The answer s correct because t was checked in Case 1.

    Answers:

    p = 10 or p = 2/3.

    Both answers check out to be correct.
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