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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 (x-600)×0.75/8000 = (x-850)×0.75/7000 .
    Question type: Equation
    Solution:Original question:
     ( x − 600) ×
3
4
 ÷ 8000 = ( x − 850) ×
3
4
 ÷ 7000
     Left side of the equation = ( x − 600) ×
3
32000
    The equation is transformed into :
     ( x − 600) ×
3
32000
 = ( x − 850) ×
3
4
 ÷ 7000
    Remove the bracket on the left of the equation:
     Left side of the equation = x ×
3
32000
 − 600 ×
3
32000
                                             = x ×
3
32000
 −
9
160
    The equation is transformed into :
     
3
32000
 x −
9
160
 = ( x − 850) ×
3
4
 ÷ 7000
     Right side of the equation = ( x − 850) ×
3
28000
    The equation is transformed into :
     
3
32000
 x −
9
160
 = ( x − 850) ×
3
28000
    Remove the bracket on the right of the equation:
     Right side of the equation = x ×
3
28000
 − 850 ×
3
28000
                                               = x ×
3
28000
 −
51
560
    The equation is transformed into :
     
3
32000
 x −
9
160
 =
3
28000
 x −
51
560

    Transposition :
     
3
32000
 x −
3
28000
 x = -
51
560
 +
9
160

    Combine the items on the left of the equation:
      -
3
224000
 x = -
51
560
 +
9
160

    Combine the items on the right of the equation:
      -
3
224000
 x = -
39
1120

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
39
1120
 =
3
224000
 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 :
     
3
224000
 x =
39
1120

    The coefficient of the unknown number is reduced to 1 :
      x =
39
1120
 ÷
3
224000
        =
39
1120
 ×
224000
3
        = 13 × 200

    We obtained :
      x = 2600
    This is the solution of the equation.



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