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23 December, 03:54

Solve y = - 8 y = - 3/4x - 2

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  1. 23 December, 07:19
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    x = 8

    Step-by-step explanation:

    Solve for x:

    -8 = (-3 x) / 4 - 2

    Put each term in (-3 x) / 4 - 2 over the common denominator 4: (-3 x) / 4 - 2 = (-8) / 4 - (3 x) / 4:

    -8 = (-8) / 4 - (3 x) / 4

    (-8) / 4 - (3 x) / 4 = (-3 x - 8) / 4:

    -8 = (-3 x - 8) / 4

    -8 = (-3 x - 8) / 4 is equivalent to (-3 x - 8) / 4 = - 8:

    (-3 x - 8) / 4 = - 8

    Multiply both sides of (-3 x - 8) / 4 = - 8 by 4:

    (4 (-3 x - 8)) / 4 = - 8*4

    (4 (-3 x - 8)) / 4 = 4/4 * (-3 x - 8) = - 3 x - 8:

    -3 x - 8 = - 8*4

    4 (-8) = - 32:

    -3 x - 8 = - 32

    Add 8 to both sides:

    (8 - 8) - 3 x = 8 - 32

    8 - 8 = 0:

    -3 x = 8 - 32

    8 - 32 = - 24:

    -3 x = - 24

    Divide both sides of - 3 x = - 24 by - 3:

    (-3 x) / (-3) = (-24) / (-3)

    (-3) / (-3) = 1:

    x = (-24) / (-3)

    The gcd of - 24 and - 3 is - 3, so (-24) / (-3) = (-3*8) / (-3*1) = (-3) / (-3) * 8 = 8:

    Answer: x = 8
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