1. |4n-15|=|n| 2. |2c+8|=|10c| can you please show the work for both

Question

1. |4n-15|=|n|
2. |2c+8|=|10c|
can you please show the work for both

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Thái Dương 4 years 2021-08-06T21:35:58+00:00 1 Answers 24 views 0

Answers ( )

  1. thienthanh
    0
    2021-08-06T21:37:37+00:00
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    Problem 1

    Answers: n = 3 or n = 5

    —————

    Work Shown:

    |4n - 15| = |n|\\\\4n - 15 = n \ \text{ or } \ 4n-15 = -n\\\\-15 = n-4n \ \text{ or } \ -15 = -n-4n\\\\-15 = -3n \ \text{ or } \ -15 = -5n\\\\-3n = -15 \ \text{ or } \ -5n = -15\\\\n = \frac{-15}{-3} \ \text{ or } \ n = \frac{-15}{-5}\\\\n = 5 \ \text{ or } \ n = 3\\\\

    ==============================================

    Problem 2

    Answers: c = 1 or c = -2/3

    ———————–

    Work Shown:

    |2c+8| = |10c|\\\\2c+8 = 10c \ \text{ or } \ 2c+8 = -10c\\\\8 = 10c-2c \ \text{ or } \ 8 = -10c-2c\\\\8 = 8c \ \text{ or } \ 8 = -12c\\\\8c = 8 \ \text{ or } \ -12c = 8\\\\c = \frac{8}{8} \ \text{ or } \ c = \frac{8}{-12}\\\\c = 1 \ \text{ or } \ c = -\frac{2}{3}

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )