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 (186+282.5)/31*x+176/31*(x+15)+124/31(x+30) = 751 .
    Question type: Equation
    Solution:Original question:
     (186 +
565
2
) ÷ 31 × x + 176 ÷ 31 × ( x + 15) + 124 ÷ 31 × ( x + 30) = 751
     Left side of the equation = (186 +
565
2
) ×
1
31
 x +
176
31
( x + 15) + 4( x + 30)
    The equation is transformed into :
     (186 +
565
2
) ×
1
31
 x +
176
31
( x + 15) + 4( x + 30) = 751
    Remove the bracket on the left of the equation:
     Left side of the equation = 186 ×
1
31
 x +
565
2
 ×
1
31
 x +
176
31
( x + 15) + 4( x + 30)
                                             = 6 x +
565
62
 x +
176
31
( x + 15) + 4( x + 30)
                                             =
937
62
 x +
176
31
( x + 15) + 4( x + 30)
                                             =
937
62
 x +
176
31
 x +
176
31
 × 15 + 4( x + 30)
                                             =
937
62
 x +
176
31
 x +
2640
31
 + 4( x + 30)
                                             =
1289
62
 x +
2640
31
 + 4( x + 30)
                                             =
1289
62
 x +
2640
31
 + 4 x + 4 × 30
                                             =
1289
62
 x +
2640
31
 + 4 x + 120
                                             =
1537
62
 x +
6360
31
    The equation is transformed into :
     
1537
62
 x +
6360
31
 = 751

    Transposition :
     
1537
62
 x = 751 −
6360
31

    Combine the items on the right of the equation:
     
1537
62
 x =
16921
31

    The coefficient of the unknown number is reduced to 1 :
      x =
16921
31
 ÷
1537
62
        =
16921
31
 ×
62
1537
        = 16921 ×
2
1537

    We obtained :
      x =
33842
1537
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 22.018217



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。