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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 (80.5+289)/31*x+51.5/31*(x+15)+53/31*(x+30) = 800 .
    Question type: Equation
    Solution:Original question:
     (
161
2
 + 289) ÷ 31 × x +
103
2
 ÷ 31 × ( x + 15) + 53 ÷ 31 × ( x + 30) = 800
     Left side of the equation = (
161
2
 + 289) ×
1
31
 x +
103
62
( x + 15) +
53
31
( x + 30)
    The equation is transformed into :
     (
161
2
 + 289) ×
1
31
 x +
103
62
( x + 15) +
53
31
( x + 30) = 800
    Remove the bracket on the left of the equation:
     Left side of the equation =
161
2
 ×
1
31
 x + 289 ×
1
31
 x +
103
62
( x + 15) +
53
31
( x + 30)
                                             =
161
62
 x +
289
31
 x +
103
62
( x + 15) +
53
31
( x + 30)
                                             =
739
62
 x +
103
62
( x + 15) +
53
31
( x + 30)
                                             =
739
62
 x +
103
62
 x +
103
62
 × 15 +
53
31
( x + 30)
                                             =
739
62
 x +
103
62
 x +
1545
62
 +
53
31
( x + 30)
                                             =
421
31
 x +
1545
62
 +
53
31
( x + 30)
                                             =
421
31
 x +
1545
62
 +
53
31
 x +
53
31
 × 30
                                             =
421
31
 x +
1545
62
 +
53
31
 x +
1590
31
                                             =
474
31
 x +
4725
62
    The equation is transformed into :
     
474
31
 x +
4725
62
 = 800

    Transposition :
     
474
31
 x = 800 −
4725
62

    Combine the items on the right of the equation:
     
474
31
 x =
44875
62

    The coefficient of the unknown number is reduced to 1 :
      x =
44875
62
 ÷
474
31
        =
44875
62
 ×
31
474
        =
44875
2
 ×
1
474

    We obtained :
      x =
44875
948
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 47.336498



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