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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 (24.6-x)*(2700/480*2630/1000)*2630/1460 = (54.7-x)*(2700/480*1460/1000) .
    Question type: Equation
    Solution:Original question:
     (
123
5
x )(2700 ÷ 480 × 2630 ÷ 1000) × 2630 ÷ 1460 = (
547
10
x )(2700 ÷ 480 × 1460 ÷ 1000)
     Left side of the equation = (
123
5
x )(2700 ÷ 480 × 2630 ÷ 1000) ×
263
146
    The equation is transformed into :
     (
123
5
x )(2700 ÷ 480 × 2630 ÷ 1000) ×
263
146
= (
547
10
x )(2700 ÷ 480 × 1460 ÷ 1000)
    Remove the bracket on the left of the equation:
     Left side of the equation =
123
5
(2700 ÷ 480 × 2630 ÷ 1000) ×
263
146
x (2700 ÷ 480 × 2630 ÷ 1000) ×
263
146
                                             =
32349
730
(2700 ÷ 480 × 2630 ÷ 1000) x (2700 ÷ 480 × 2630 ÷ 1000) ×
263
146
                                             =
32349
730
× 2700 ÷ 480 × 2630 ÷ 1000 x (2700 ÷ 480 × 2630 ÷ 1000) ×
263
146
                                             =
76570083
116800
x (2700 ÷ 480 × 2630 ÷ 1000) ×
263
146
                                             =
76570083
116800
x × 2700 ÷ 480 × 2630 ÷ 1000 ×
263
146
                                             =
76570083
116800
x ×
622521
23360
    The equation is transformed into :
     
76570083
116800
622521
23360
x = (
547
10
x )(2700 ÷ 480 × 1460 ÷ 1000)
    Remove the bracket on the right of the equation:
     Right side of the equation =
547
10
(2700 ÷ 480 × 1460 ÷ 1000) x (2700 ÷ 480 × 1460 ÷ 1000)
                                               =
547
10
× 2700 ÷ 480 × 1460 ÷ 1000 x (2700 ÷ 480 × 1460 ÷ 1000)
                                               =
359379
800
x (2700 ÷ 480 × 1460 ÷ 1000)
                                               =
359379
800
x × 2700 ÷ 480 × 1460 ÷ 1000
                                               =
359379
800
x ×
657
80
    The equation is transformed into :
     
76570083
116800
622521
23360
x =
359379
800
657
80
x

    Transposition :
      -
622521
23360
x +
657
80
x =
359379
800
76570083
116800

    Combine the items on the left of the equation:
      -
430677
23360
x =
359379
800
76570083
116800

    
        x≈22.547391 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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