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On line Solution of Monovariate Equation:
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    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 (1.01+1.88*0.013)*100+2490*0.013 = (1.01+1.88*x)*60+2490*x .
    Question type: Equation
    Solution:Original question:
     (
101
100
+
47
25
×
13
1000
) × 100 + 2490 ×
13
1000
= (
101
100
+
47
25
x ) × 60 + 2490 x
     Left side of the equation = (
101
100
+
47
25
×
13
1000
) × 100 +
3237
100
    The equation is transformed into :
     (
101
100
+
47
25
×
13
1000
) × 100 +
3237
100
= (
101
100
+
47
25
x ) × 60 + 2490 x
    Remove the bracket on the left of the equation:
     Left side of the equation =
101
100
× 100 +
47
25
×
13
1000
× 100 +
3237
100
                                             = 101 +
611
250
+
3237
100
                                             =
67907
500
    The equation is transformed into :
     
67907
500
= (
101
100
+
47
25
x ) × 60 + 2490 x
    Remove the bracket on the right of the equation:
     Right side of the equation =
101
100
× 60 +
47
25
x × 60 + 2490 x
                                               =
303
5
+
564
5
x + 2490 x
                                               =
303
5
+
13014
5
x
    The equation is transformed into :
     
67907
500
=
303
5
+
13014
5
x

    Transposition :
      -
13014
5
x =
303
5
67907
500

    Combine the items on the right of the equation:
      -
13014
5
x = -
37607
500

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
37607
500
=
13014
5
x

    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 :
     
13014
5
x =
37607
500

    The coefficient of the unknown number is reduced to 1 :
      x =
37607
500
÷
13014
5
        =
37607
500
×
5
13014
        =
37607
100
×
1
13014

    We obtained :
      x =
37607
1301400
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 0.028897



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