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 420/30*x+135/30*(x+15)+90/30*(x+30) = 983 .
    Question type: Equation
    Solution:Original question:
     420 ÷ 30 × x + 135 ÷ 30 × ( x + 15) + 90 ÷ 30 × ( x + 30) = 983
     Left side of the equation = 14 x +
9
2
( x + 15) + 3( x + 30)
    The equation is transformed into :
     14 x +
9
2
( x + 15) + 3( x + 30) = 983
    Remove the bracket on the left of the equation:
     Left side of the equation = 14 x +
9
2
 x +
9
2
 × 15 + 3( x + 30)
                                             = 14 x +
9
2
 x +
135
2
 + 3( x + 30)
                                             =
37
2
 x +
135
2
 + 3( x + 30)
                                             =
37
2
 x +
135
2
 + 3 x + 3 × 30
                                             =
37
2
 x +
135
2
 + 3 x + 90
                                             =
43
2
 x +
315
2
    The equation is transformed into :
     
43
2
 x +
315
2
 = 983

    Transposition :
     
43
2
 x = 983 −
315
2

    Combine the items on the right of the equation:
     
43
2
 x =
1651
2

    The coefficient of the unknown number is reduced to 1 :
      x =
1651
2
 ÷
43
2
        =
1651
2
 ×
2
43
        = 1651 ×
1
43

    We obtained :
      x =
1651
43
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 38.395349



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。