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3 July, 22:21

Solve the equation 2/3-4x+7/2=-9x+5/6

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  1. 3 July, 23:48
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    For this equation the value of x is - 2/3

    Step-by-step explanation:

    1. Resolving the equation 2/3-4x+7/2=-9x+5/6

    -4x + 9x = 5/6 - 2/3 - 7/2 (Putting the all the x values on the left)

    5x = (5/6 - 4/6 - 21/6)

    5x = - 20/6

    x = - 20/6 / 5 (Dividing by 5 at both sides)

    x = - 20/6 * 1/5

    x = - 4/6 = - 2/3 (Simplifying)

    2. Proof of replacing x by - 2/3

    2/3 - 4 (-2/3) + 7/2 = - 9 (-2/3) + 5/6

    2/3 + 8/3 + 7/2 = 18/3 + 5/6

    10/3 + 7/2 = 6 + 5/6

    20 + 21 = 36 + 5 (Multiplying by 6 at both sides)

    41 = 41

    It means the value of - 2/3 for x is correct

    Note: Same answer than 13866851
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