Mathematics
         
语言：中文    Language:English
Equations   
Fold
Unary equation
Multivariate equation
Math OP  
Unfold
Linear algebra      
Unfold
Derivative function
Function image
Hot issues
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 (176+346.5)/30*x+167.5/30*(x+15)+99/30*(x+30) = 1793 .
    Question type: Equation
    Solution:Original question:
     (176 +
693
2
) ÷ 30 × x +
335
2
 ÷ 30 × ( x + 15) + 99 ÷ 30 × ( x + 30) = 1793
     Left side of the equation = (176 +
693
2
) ×
1
30
 x +
67
12
( x + 15) +
33
10
( x + 30)
    The equation is transformed into :
     (176 +
693
2
) ×
1
30
 x +
67
12
( x + 15) +
33
10
( x + 30) = 1793
    Remove the bracket on the left of the equation:
     Left side of the equation = 176 ×
1
30
 x +
693
2
 ×
1
30
 x +
67
12
( x + 15) +
33
10
( x + 30)
                                             =
88
15
 x +
231
20
 x +
67
12
( x + 15) +
33
10
( x + 30)
                                             =
209
12
 x +
67
12
( x + 15) +
33
10
( x + 30)
                                             =
209
12
 x +
67
12
 x +
67
12
 × 15 +
33
10
( x + 30)
                                             =
209
12
 x +
67
12
 x +
335
4
 +
33
10
( x + 30)
                                             = 23 x +
335
4
 +
33
10
( x + 30)
                                             = 23 x +
335
4
 +
33
10
 x +
33
10
 × 30
                                             = 23 x +
335
4
 +
33
10
 x + 99
                                             =
263
10
 x +
731
4
    The equation is transformed into :
     
263
10
 x +
731
4
 = 1793

    Transposition :
     
263
10
 x = 1793 −
731
4

    Combine the items on the right of the equation:
     
263
10
 x =
6441
4

    The coefficient of the unknown number is reduced to 1 :
      x =
6441
4
 ÷
263
10
        =
6441
4
 ×
10
263
        =
6441
2
 ×
5
263

    We obtained :
      x =
32205
526
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 61.226236



Your problem has not been solved here? Please go to the Hot Problems section！


Return



  New addition:Lenders ToolBox module（Specific location：Math OP > Lenders ToolBox ），welcome。