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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 Y = [1000+0.8*(Y-200-0.25Y+400)]+2000+2500 .
    Question type: Equation
    Solution:Original question:
      Y = (1000 +
4
5
( Y − 200 −
1
4
 Y + 400)) + 2000 + 2500
     Right side of the equation = (1000 +
4
5
( Y − 200 −
1
4
 Y + 400)) + 4500
    The equation is transformed into :
      Y = (1000 +
4
5
( Y − 200 −
1
4
 Y + 400)) + 4500
    Remove the bracket on the right of the equation:
     Right side of the equation = 1000 +
4
5
( Y − 200 −
1
4
 Y + 400) + 4500
                                               = 5500 +
4
5
( Y − 200 −
1
4
 Y + 400)
                                               = 5500 +
4
5
 Y −
4
5
 × 200 −
4
5
 ×
1
4
 Y +
4
5
 × 400
                                               = 5500 +
4
5
 Y − 160 −
1
5
 Y + 320
                                               = 5660 +
3
5
 Y
    The equation is transformed into :
      Y = 5660 +
3
5
 Y

    Transposition :
      Y −
3
5
 Y = 5660

    Combine the items on the left of the equation:
     
2
5
 Y = 5660

    The coefficient of the unknown number is reduced to 1 :
      Y = 5660 ÷
2
5
        = 5660 ×
5
2
        = 2830 × 5

    We obtained :
      Y = 14150
    This is the solution of the equation.



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