algebra

7-|m-1|=3

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asked by Amanda
  1. (m-1) or (1-m)

    7 - m + 1 = 3
    or
    7 -1 + m = 3

    m = 5
    or
    m = -3

    check
    if m = 5
    |m-1| = 4
    4 = 4 good
    if m = -3
    |m-1| = 4 good

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    posted by Damon
  2. 7 - | m - 1 | = 3 Subtract 3 to both sides

    7 - | m - 1 | - 3 = 3 - 3

    4 - | m - 1 | = 0 Add | m - 1 | to both sides

    4 - | m - 1 | + | m - 1 | = 0 + | m - 1 |

    4 = | m - 1 |

    | m - 1 | = 4

    + OR - ( m - 1 ) = 4


    1 solution :

    m - 1 = 4 Add 1 to both s ides

    m = - 1 + 1 = 4 + 1

    m = 5


    2 solution:

    - ( m - 1 ) = 4

    - m + 1 = 4 Subtract 1 to both sides

    - m + 1 - 1 = 4 - 1

    - m = 3 Multiply both sides by - 1

    m = - 3

    The solutions are ;

    m = - 3

    and

    m = 5

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    posted by Bosnian

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