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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 (15-x)/10 = (x-0.7)/6.98+(x-8.16)/283.87 .
    Question type: Equation
    Solution:Original question:
     (15 − x ) ÷ 10 = ( x −
7
10
) ÷
349
50
 + ( x −
204
25
) ÷
28387
100
    Remove the bracket on the left of the equation:
     Left side of the equation = 15 ×
1
10
 − x ×
1
10
                                             =
3
2
 − x ×
1
10
    The equation is transformed into :
     
3
2
 −
1
10
 x = ( x −
7
10
) ÷
349
50
 + ( x −
204
25
) ÷
28387
100
    Remove the bracket on the right of the equation:
     Right side of the equation = x ×
50
349
 −
7
10
 ×
50
349
 + ( x −
204
25
) ×
100
28387
                                               = x ×
50
349
 −
35
349
 + ( x −
204
25
) ×
100
28387
                                               =
50
349
 x −
35
349
 + x ×
100
28387
 −
204
25
 ×
100
28387
                                               =
50
349
 x −
35
349
 + x ×
100
28387
 −
816
28387
                                               =
1454250
9907063
 x −
1278329
9907063
    The equation is transformed into :
     
3
2
 −
1
10
 x =
1454250
9907063
 x −
1278329
9907063

    Transposition :
      -
1
10
 x −
1454250
9907063
 x = -
1278329
9907063
 −
3
2

    Combine the items on the left of the equation:
      -
24449563
99070630
 x = -
1278329
9907063
 −
3
2

    Combine the items on the right of the equation:
      -
24449563
99070630
 x = -
32277847
19814126

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
32277847
19814126
 =
24449563
99070630
 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 :
     
24449563
99070630
 x =
32277847
19814126

    The coefficient of the unknown number is reduced to 1 :
      x =
32277847
19814126
 ÷
24449563
99070630
        =
32277847
19814126
 ×
99070630
24449563
        =
32277847
28387
 ×
141935
24449563

    We obtained :
      x =
4581356213945
694049744881
    This is the solution of the equation.



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