Mathematics
         
语言：中文    Language:English
Equations   
Fold
Unary equation
Multivariate equation
Math OP  
Unfold
Linear algebra      
Unfold
Derivative function
Function image
Hot issues
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 0.507/（400000+8.5Y） = 0.493/（500000+6.8Y） .
    Question type: Equation
    Solution:Original question:
     
507
1000
 ÷ (400000 +
17
2
 Y ) =
493
1000
 ÷ (500000 +
34
5
 Y )
     Multiply both sides of the equation by:(400000 +
17
2
 Y ) ,  (500000 +
34
5
 Y )
     
507
1000
(500000 +
34
5
 Y ) =
493
1000
(400000 +
17
2
 Y )
    Remove a bracket on the left of the equation:：
     
507
1000
 × 500000 +
507
1000
 ×
34
5
 Y =
493
1000
(400000 +
17
2
 Y )
    Remove a bracket on the right of the equation:：
     
507
1000
 × 500000 +
507
1000
 ×
34
5
 Y =
493
1000
 × 400000 +
493
1000
 ×
17
2
 Y
    The equation is reduced to :
     253500 +
8619
2500
 Y = 197200 +
8381
2000
 Y

    Transposition :
     
8619
2500
 Y −
8381
2000
 Y = 197200 − 253500

    Combine the items on the left of the equation:
      -
7429
10000
 Y = 197200 − 253500

    Combine the items on the right of the equation:
      -
7429
10000
 Y = - 56300

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     56300 =
7429
10000
 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 :
     
7429
10000
 Y = 56300

    The coefficient of the unknown number is reduced to 1 :
      Y = 56300 ÷
7429
10000
        = 56300 ×
10000
7429

    We obtained :
      Y =
563000000
7429
    This is the solution of the equation.

    Convert the result to decimal form :
      Y = 75784.089379



Your problem has not been solved here? Please go to the Hot Problems section！


Return



  New addition:Lenders ToolBox module（Specific location：Math OP > Lenders ToolBox ），welcome。