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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*85%+(500-x)*13.5%)/500 = 15% .
    Question type: Equation
    Solution:Original question:
     ( x ×
85
100
+ (500 x ) ×
27
200
) ÷ 500 =
15
100
    Remove the bracket on the left of the equation:
     Left side of the equation = x ×
85
100
×
1
500
+ (500 x ) ×
27
200
×
1
500
                                             = x ×
17
10000
+ (500 x ) ×
27
100000
                                             =
17
10000
x + 500 ×
27
100000
x ×
27
100000
                                             =
17
10000
x +
27
200
x ×
27
100000
                                             =
143
100000
x +
27
200
    The equation is transformed into :
     
143
100000
x +
27
200
=
15
100

    Transposition :
     
143
100000
x =
15
100
27
200

    Combine the items on the right of the equation:
     
143
100000
x =
3
200

    The coefficient of the unknown number is reduced to 1 :
      x =
3
200
÷
143
100000
        =
3
200
×
100000
143
        = 3 ×
500
143

    We obtained :
      x =
1500
143
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 10.48951



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