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On line Solution of Monovariate Equation：
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 0.508/（400000+8.5Y） = 0.492/（500000+6.8Y） .
    Question type: Equation
    Solution:Original question:
     
127
250
 ÷ (400000 +
17
2
 Y ) =
123
250
 ÷ (500000 +
34
5
 Y )
     Multiply both sides of the equation by:(400000 +
17
2
 Y ) ,  (500000 +
34
5
 Y )
     
127
250
(500000 +
34
5
 Y ) =
123
250
(400000 +
17
2
 Y )
    Remove a bracket on the left of the equation:：
     
127
250
 × 500000 +
127
250
 ×
34
5
 Y =
123
250
(400000 +
17
2
 Y )
    Remove a bracket on the right of the equation:：
     
127
250
 × 500000 +
127
250
 ×
34
5
 Y =
123
250
 × 400000 +
123
250
 ×
17
2
 Y
    The equation is reduced to :
     254000 +
2159
625
 Y = 196800 +
2091
500
 Y

    Transposition :
     
2159
625
 Y −
2091
500
 Y = 196800 − 254000

    Combine the items on the left of the equation:
      -
1819
2500
 Y = 196800 − 254000

    Combine the items on the right of the equation:
      -
1819
2500
 Y = - 57200

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     57200 =
1819
2500
 Y

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     
1819
2500
 Y = 57200

    The coefficient of the unknown number is reduced to 1 :
      Y = 57200 ÷
1819
2500
        = 57200 ×
2500
1819

    We obtained :
      Y =
143000000
1819
    This is the solution of the equation.

    Convert the result to decimal form :
      Y = 78614.623419



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