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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 (128.5+247)/31*x+241.5/31*(x+15)+124/31(x+30) = 1623 .
    Question type: Equation
    Solution:Original question:
     (
257
2
+ 247) ÷ 31 × x +
483
2
÷ 31 × ( x + 15) + 124 ÷ 31 × ( x + 30) = 1623
     Left side of the equation = (
257
2
+ 247) ×
1
31
x +
483
62
( x + 15) + 4( x + 30)
    The equation is transformed into :
     (
257
2
+ 247) ×
1
31
x +
483
62
( x + 15) + 4( x + 30) = 1623
    Remove the bracket on the left of the equation:
     Left side of the equation =
257
2
×
1
31
x + 247 ×
1
31
x +
483
62
( x + 15) + 4( x + 30)
                                             =
257
62
x +
247
31
x +
483
62
( x + 15) + 4( x + 30)
                                             =
751
62
x +
483
62
( x + 15) + 4( x + 30)
                                             =
751
62
x +
483
62
x +
483
62
× 15 + 4( x + 30)
                                             =
751
62
x +
483
62
x +
7245
62
+ 4( x + 30)
                                             =
617
31
x +
7245
62
+ 4( x + 30)
                                             =
617
31
x +
7245
62
+ 4 x + 4 × 30
                                             =
617
31
x +
7245
62
+ 4 x + 120
                                             =
741
31
x +
14685
62
    The equation is transformed into :
     
741
31
x +
14685
62
= 1623

    Transposition :
     
741
31
x = 1623
14685
62

    Combine the items on the right of the equation:
     
741
31
x =
85941
62

    The coefficient of the unknown number is reduced to 1 :
      x =
85941
62
÷
741
31
        =
85941
62
×
31
741
        =
28647
2
×
1
247

    We obtained :
      x =
28647
494
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 57.989879



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