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29 May, 14:55

8a - (15 - a) = 6 (a - 7) + 15

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Answers (2)
  1. 29 May, 15:30
    0
    The correct answer is a=-4
  2. 29 May, 15:46
    0
    a = - 4 or 3a+12=0 (not sure what you want)

    Step-by-step explanation:

    Solve for a:

    8 a - (15 - a) = 6 (a - 7) + 15

    - (15 - a) = a - 15:

    8 a + a - 15 = 6 (a - 7) + 15

    Grouping like terms, 8 a + a - 15 = (8 a + a) - 15:

    (8 a + a) - 15 = 6 (a - 7) + 15

    8 a + a = 9 a:

    9 a - 15 = 6 (a - 7) + 15

    6 (a - 7) = 6 a - 42:

    9 a - 15 = 6 a - 42 + 15

    Grouping like terms, 6 a - 42 + 15 = 6 a + (15 - 42):

    9 a - 15 = 6 a + (15 - 42)

    15 - 42 = - 27:

    9 a - 15 = 6 a + - 27

    Subtract 6 a from both sides:

    (9 a - 6 a) - 15 = (6 a - 6 a) - 27

    9 a - 6 a = 3 a:

    3 a - 15 = (6 a - 6 a) - 27

    6 a - 6 a = 0:

    3 a - 15 = - 27

    Add 15 to both sides:

    3 a + (15 - 15) = 15 - 27

    15 - 15 = 0:

    3 a = 15 - 27

    15 - 27 = - 12:

    3 a = - 12

    Divide both sides of 3 a = - 12 by 3:

    (3 a) / 3 = (-12) / 3

    3/3 = 1:

    a = (-12) / 3

    The gcd of - 12 and 3 is 3, so (-12) / 3 = (3 (-4)) / (3*1) = 3/3*-4 = - 4:

    Answer: |

    | a = - 4Solve for a:

    8 a - (15 - a) = 6 (a - 7) + 15

    - (15 - a) = a - 15:

    8 a + a - 15 = 6 (a - 7) + 15

    Grouping like terms, 8 a + a - 15 = (8 a + a) - 15:

    (8 a + a) - 15 = 6 (a - 7) + 15

    8 a + a = 9 a:

    9 a - 15 = 6 (a - 7) + 15

    6 (a - 7) = 6 a - 42:

    9 a - 15 = 6 a - 42 + 15

    Grouping like terms, 6 a - 42 + 15 = 6 a + (15 - 42):

    9 a - 15 = 6 a + (15 - 42)

    15 - 42 = - 27:

    9 a - 15 = 6 a + - 27

    Subtract 6 a from both sides:

    (9 a - 6 a) - 15 = (6 a - 6 a) - 27

    9 a - 6 a = 3 a:

    3 a - 15 = (6 a - 6 a) - 27

    6 a - 6 a = 0:

    3 a - 15 = - 27

    Add 15 to both sides:

    3 a + (15 - 15) = 15 - 27

    15 - 15 = 0:

    3 a = 15 - 27

    15 - 27 = - 12:

    3 a = - 12

    Divide both sides of 3 a = - 12 by 3:

    (3 a) / 3 = (-12) / 3

    3/3 = 1:

    a = (-12) / 3

    The gcd of - 12 and 3 is 3, so (-12) / 3 = (3 (-4)) / (3*1) = 3/3*-4 = - 4:

    Answer: a = - 4
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