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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*15%+(70%-x)*12%+30%*10% = 13% .
    Question type: Equation
    Solution:Original question:
      x ×
15
100
+ (
70
100
x ) ×
12
100
+
30
100
×
10
100
=
13
100
     Left side of the equation = x ×
15
100
+ (
70
100
x ) ×
12
100
+
3
100
    The equation is transformed into :
     
15
100
x + (
70
100
x ) ×
12
100
+
3
100
=
13
100
    Remove the bracket on the left of the equation:
     Left side of the equation =
15
100
x +
70
100
×
12
100
x ×
12
100
+
3
100
                                             =
15
100
x +
21
250
x ×
12
100
+
3
100
                                             =
3
100
x +
57
500
    The equation is transformed into :
     
3
100
x +
57
500
=
13
100

    Transposition :
     
3
100
x =
13
100
57
500

    Combine the items on the right of the equation:
     
3
100
x =
2
125

    The coefficient of the unknown number is reduced to 1 :
      x =
2
125
÷
3
100
        =
2
125
×
100
3
        =
2
5
×
4
3

    We obtained :
      x =
8
15
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 0.533333



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