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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 (217+371.5)/31*x+151.5/31*(x+15)+124/31(x+30) = 1839 .
    Question type: Equation
    Solution:Original question:
     (217 +
743
2
) ÷ 31 × x +
303
2
÷ 31 × ( x + 15) + 124 ÷ 31 × ( x + 30) = 1839
     Left side of the equation = (217 +
743
2
) ×
1
31
x +
303
62
( x + 15) + 4( x + 30)
    The equation is transformed into :
     (217 +
743
2
) ×
1
31
x +
303
62
( x + 15) + 4( x + 30) = 1839
    Remove the bracket on the left of the equation:
     Left side of the equation = 217 ×
1
31
x +
743
2
×
1
31
x +
303
62
( x + 15) + 4( x + 30)
                                             = 7 x +
743
62
x +
303
62
( x + 15) + 4( x + 30)
                                             =
1177
62
x +
303
62
( x + 15) + 4( x + 30)
                                             =
1177
62
x +
303
62
x +
303
62
× 15 + 4( x + 30)
                                             =
1177
62
x +
303
62
x +
4545
62
+ 4( x + 30)
                                             =
740
31
x +
4545
62
+ 4( x + 30)
                                             =
740
31
x +
4545
62
+ 4 x + 4 × 30
                                             =
740
31
x +
4545
62
+ 4 x + 120
                                             =
864
31
x +
11985
62
    The equation is transformed into :
     
864
31
x +
11985
62
= 1839

    Transposition :
     
864
31
x = 1839
11985
62

    Combine the items on the right of the equation:
     
864
31
x =
102033
62

    The coefficient of the unknown number is reduced to 1 :
      x =
102033
62
÷
864
31
        =
102033
62
×
31
864
        =
3779
2
×
1
32

    We obtained :
      x =
3779
64
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 59.046875



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