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

[ 1/2 Equation]
    Work: Find the solution of equation 0.3X+4(400-X) = 860 .
    Question type: Equation
    Solution:Original question:
     
3
10
X + 4(400 X ) = 860
    Remove the bracket on the left of the equation:
     Left side of the equation =
3
10
X + 4 × 4004 X
                                             =
3
10
X + 16004 X
                                             = -
37
10
X + 1600
    The equation is transformed into :
      -
37
10
X + 1600 = 860

    Transposition :
      -
37
10
X = 8601600

    Combine the items on the right of the equation:
      -
37
10
X = - 740

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     740 =
37
10
X

    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 :
     
37
10
X = 740

    The coefficient of the unknown number is reduced to 1 :
      X = 740 ÷
37
10
        = 740 ×
10
37
        = 20 × 10

    We obtained :
      X = 200
    This is the solution of the equation.

[ 2/2 Equation]
    Work: Find the solution of equation (1+6%)X+(1-5%)X(2200-X) = 2200+110 .
    Question type: Equation
    Solution:Original question:
     (1 +
6
100
) X + (1
5
100
) X (2200 X ) = 2200 + 110
    Remove the bracket on the left of the equation:
     Left side of the equation = 1 X +
6
100
X + (1
5
100
) X (2200 X )
                                             =
53
50
X + (1
5
100
) X (2200 X )
                                             =
53
50
X + 1 X (2200 X )
5
100
X (2200 X )
                                             =
53
50
X + 1 X × 22001 X X
5
100
X (2200 X )
                                             =
53
50
X + 2200 X 1 X X
5
100
X (2200 X )
                                             =
110053
50
X 1 X X
5
100
X (2200 X )
                                             =
110053
50
X 1 X X
5
100
X × 2200 +
5
100
X X
                                             =
110053
50
X 1 X X 110 X +
5
100
X X
                                             =
104553
50
X 1 X X +
5
100
X X
    The equation is transformed into :
     
104553
50
X 1 X X +
5
100
X X = 2200 + 110
     Right side of the equation = 2310
    The equation is transformed into :
     
104553
50
X 1 X X +
5
100
X X = 2310

    
        X≈1.105258 , 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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