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 （55-X）*（2700/480*1460/1000） = （25-X）*（2700/480*2630/1000）*2630/1460 .
    Question type: Equation
    Solution:Original question:
     (55 − X )(2700 ÷ 480 × 1460 ÷ 1000) = (25 − X )(2700 ÷ 480 × 2630 ÷ 1000) × 2630 ÷ 1460
    Remove the bracket on the left of the equation:
     Left side of the equation = 55(2700 ÷ 480 × 1460 ÷ 1000) − X (2700 ÷ 480 × 1460 ÷ 1000)
                                             = 55 × 2700 ÷ 480 × 1460 ÷ 1000 − X (2700 ÷ 480 × 1460 ÷ 1000)
                                             =
7227
16
 − X (2700 ÷ 480 × 1460 ÷ 1000)
                                             =
7227
16
 − X × 2700 ÷ 480 × 1460 ÷ 1000
                                             =
7227
16
 − X ×
657
80
    The equation is transformed into :
     
7227
16
 −
657
80
 X = (25 − X )(2700 ÷ 480 × 2630 ÷ 1000) × 2630 ÷ 1460
     Right side of the equation = (25 − X )(2700 ÷ 480 × 2630 ÷ 1000) ×
263
146
    The equation is transformed into :
     
7227
16
 −
657
80
 X = (25 − X )(2700 ÷ 480 × 2630 ÷ 1000) ×
263
146
    Remove the bracket on the right of the equation:
     Right side of the equation = 25(2700 ÷ 480 × 2630 ÷ 1000) ×
263
146
 − X (2700 ÷ 480 × 2630 ÷ 1000) ×
263
146
                                               =
6575
146
(2700 ÷ 480 × 2630 ÷ 1000) − X (2700 ÷ 480 × 2630 ÷ 1000) ×
263
146
                                               =
6575
146
 × 2700 ÷ 480 × 2630 ÷ 1000 − X (2700 ÷ 480 × 2630 ÷ 1000) ×
263
146
                                               =
3112605
4672
 − X (2700 ÷ 480 × 2630 ÷ 1000) ×
263
146
                                               =
3112605
4672
 − X × 2700 ÷ 480 × 2630 ÷ 1000 ×
263
146
                                               =
3112605
4672
 − X ×
622521
23360
    The equation is transformed into :
     
7227
16
 −
657
80
 X =
3112605
4672
 −
622521
23360
 X

    Transposition :
      -
657
80
 X +
622521
23360
 X =
3112605
4672
 −
7227
16

    Combine the items on the left of the equation:
     
430677
23360
 X =
3112605
4672
 −
7227
16

    Combine the items on the right of the equation:
     
430677
23360
 X =
1002321
4672

    The coefficient of the unknown number is reduced to 1 :
      X =
1002321
4672
 ÷
430677
23360
        =
1002321
4672
 ×
23360
430677
        = 37123 ×
5
15951

    We obtained :
      X =
185615
15951
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 11.636575



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。