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Algbra

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How do you solve this problem?

3/5k - (k + 1/3) = 1/15 (k + 3)

Please show me the steps. Thanks.

  • Algbra -

    I am not a fan of fractions in equations, so I usually multiply each term by the LCD, in this case 15

    9k - 15(k+1/3) = k+3
    9k - 15k - 5 = k + 3
    -7k = 8
    k = -8/7

  • Algbra -

    3/5k - (k + 1/3) = 1/15 (k + 3)

    remove ( )
    3/5k - k - 1/3 = 1/15k + 3/15
    get rid of denominators
    since 15 is the LCD of 5, 3, 15
    multiplying both sides by 15 will do this
    15 (3/5k - k - 1/3) = 15(1/15k + 3/15)
    9k - 15k - 5 = k + 3
    -6k - 5 = k + 3
    -7k = 8
    k = -8/7

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