Solve the following equation: 5/6h+6/7h-9/14h=4 Will mark as brainliest.

Question

Solve the following equation:
5/6h+6/7h-9/14h=4

Will mark as brainliest.

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King 4 years 2021-08-20T19:37:06+00:00 1 Answers 24 views 0

Answers ( )

  1. Thunguyet
    0
    2021-08-20T19:38:28+00:00
    Reply

    Given:

    The equation is

    \dfrac{5}{6}h+\dfrac{6}{7}h-\dfrac{9}{14}h=4

    To find:

    The solution of the given equation.

    Solution:

    We have,

    \dfrac{5}{6}h+\dfrac{6}{7}h-\dfrac{9}{14}h=4

    It can be written as

    \left(\dfrac{5}{6}+\dfrac{6}{7}-\dfrac{9}{14}\right)h=4

    \left(\dfrac{35+36-27}{42}\right)h=4

    \left(\dfrac{44}{42}\right)h=4

    \dfrac{22}{21}h=4

    Multiply both sides by 21.

    22h=84

    Divide both sides by 22.

    h=\dfrac{84}{22}

    h=\dfrac{42}{11}

    Therefore, the solution of the given equation is h=\dfrac{42}{11}.

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