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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 8.5%×W+18%×(1-W) = 14.2% .
    Question type: Equation
    Solution:Original question:
     
17
200
W +
18
100
(1 W ) =
71
500
    Remove the bracket on the left of the equation:
     Left side of the equation =
17
200
W +
18
100
× 1
18
100
W
                                             =
17
200
W +
9
50
18
100
W
                                             = -
19
200
W +
9
50
    The equation is transformed into :
      -
19
200
W +
9
50
=
71
500

    Transposition :
      -
19
200
W =
71
500
9
50

    Combine the items on the right of the equation:
      -
19
200
W = -
19
500

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
19
500
=
19
200
W

    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 :
     
19
200
W =
19
500

    The coefficient of the unknown number is reduced to 1 :
      W =
19
500
÷
19
200
        =
19
500
×
200
19
        =
1
5
× 2

    We obtained :
      W =
2
5
    This is the solution of the equation.

    Convert the result to decimal form :
      W = 0.4



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