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14 May, 18:39

Solve the following equation algebraically. Show your work.

17=-13-8x

Solve the following equation algebraically. Show your work.

6=x+2/3

Solve the following equation algebraically. Show your work.

13+w/7=-18

+1
Answers (2)
  1. 14 May, 20:47
    0
    1) x = - 3.75

    2) x = 5.33

    3) w = - 217

    Step-by-step explanation:

    1) 17 = - 13 - 8x

    Rearranging the terms of the equation:

    => 8x = - 13-17

    => 8x = - 30

    Computing the value of x:

    => x = - 30/8 = - 15/4 = - 3.75

    So the required value of x is - 3.75

    2) 6 = x + 2/3

    Rearranging the terms of the equation:

    => x = 6-2/3

    x = (18-2) / 3

    Simplifying:

    x = 16/3 = 5.33

    So the required value of x is 5.33

    3) 13 + w/7 = - 18

    Rearranging the terms of the equation:

    => w/7 = - 18-13 = - 31

    Computing the value of w:

    => w = - 31 * 7 = - 217

    So the required value of w is - 217
  2. 14 May, 20:52
    0
    17 = - 13 - 8x

    Add 13 to both sides:

    30 = - 8x

    Divide both sides by - 8:

    x = 30 / - 8

    Reduce the fraction by dividing both numbers by 2:

    X = - 15/4 or - 3 3/4

    6 = x + 2/3

    Subtract 2/3 from both sides:

    x = 5 1/3

    13 + w/7 = - 18

    Subtract 13 from both sides:

    w/7 = - 31

    Multiply both sides by 7:

    w = - 217
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