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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 (15000-P)*0.3571/1.05+(15000-P)*0.6429/1.05 = 11000-P .
    Question type: Equation
    Solution:Original question:
     (15000 − P ) ×
3571
10000
 ÷
21
20
 + (15000 − P ) ×
6429
10000
 ÷
21
20
 = 11000 − P
     Left side of the equation = (15000 − P ) ×
3571
10500
 + (15000 − P ) ×
2143
3500
    The equation is transformed into :
     (15000 − P ) ×
3571
10500
 + (15000 − P ) ×
2143
3500
 = 11000 − P
    Remove the bracket on the left of the equation:
     Left side of the equation = 15000 ×
3571
10500
 − P ×
3571
10500
 + (15000 − P ) ×
2143
3500
                                             =
35710
7
 − P ×
3571
10500
 + (15000 − P ) ×
2143
3500
                                             =
35710
7
 −
3571
10500
 P + 15000 ×
2143
3500
 − P ×
2143
3500
                                             =
35710
7
 −
3571
10500
 P +
64290
7
 − P ×
2143
3500
                                             =
100000
7
 −
20
21
 P
    The equation is transformed into :
     
100000
7
 −
20
21
 P = 11000 − P

    Transposition :
      -
20
21
 P + P = 11000 −
100000
7

    Combine the items on the left of the equation:
      - - 
1
21
 P = 11000 −
100000
7

    Combine the items on the right of the equation:
      - - 
1
21
 P = -
23000
7

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
23000
7
 = -
1
21
 P

    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 :
      -
1
21
 P =
23000
7

    The coefficient of the unknown number is reduced to 1 :
      P = - 
23000
7
 ÷
1
21
        = - 
23000
7
 × 21
        = -23000 × 3

    We obtained :
      P = - 69000
    This is the solution of the equation.



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