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25 January, 04:39

Solve for u. u+1/4=-4/5

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  1. 25 January, 08:22
    0
    u = (-21) / 20

    Step-by-step explanation:

    Solve for u:

    u + 1/4 = (-4) / 5

    Put each term in u + 1/4 over the common denominator 4: u + 1/4 = (4 u) / 4 + 1/4:

    (4 u) / 4 + 1/4 = - 4/5

    (4 u) / 4 + 1/4 = (4 u + 1) / 4:

    1/4 (4 u + 1) = - 4/5

    Multiply both sides of (4 u + 1) / 4 = (-4) / 5 by 4:

    (4 (4 u + 1)) / 4 = (-4) / 5*4

    4 * (-4) / 5 = (4 (-4)) / 5:

    (4 (4 u + 1)) / 4 = (-4*4) / 5

    (4 (4 u + 1)) / 4 = 4/4 * (4 u + 1) = 4 u + 1:

    4 u + 1 = (-4*4) / 5

    4 (-4) = - 16:

    4 u + 1 = (-16) / 5

    Subtract 1 from both sides:

    4 u + (1 - 1) = (-16) / 5 - 1

    1 - 1 = 0:

    4 u = (-16) / 5 - 1

    Put (-16) / 5 - 1 over the common denominator 5. (-16) / 5 - 1 = (-16) / 5 - 5/5:

    4 u = (-16) / 5 - 5/5

    -16/5 - 5/5 = (-16 - 5) / 5:

    4 u = (-16 - 5) / 5

    -16 - 5 = - 21:

    4 u = (-21) / 5

    Divide both sides by 4:

    u = ((-21) / 4) / 5

    5*4 = 20:

    Answer: u = (-21) / 20
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