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 (108.5+301.5)/28*x+196/28*(15+x)+85/28*(30+x) = 1251 .
    Question type: Equation
    Solution:Original question:
     (
217
2
 +
603
2
) ÷ 28 × x + 196 ÷ 28 × (15 + x ) + 85 ÷ 28 × (30 + x ) = 1251
     Left side of the equation = (
217
2
 +
603
2
) ×
1
28
 x + 7(15 + x ) +
85
28
(30 + x )
    The equation is transformed into :
     (
217
2
 +
603
2
) ×
1
28
 x + 7(15 + x ) +
85
28
(30 + x ) = 1251
    Remove the bracket on the left of the equation:
     Left side of the equation =
217
2
 ×
1
28
 x +
603
2
 ×
1
28
 x + 7(15 + x ) +
85
28
(30 + x )
                                             =
31
8
 x +
603
56
 x + 7(15 + x ) +
85
28
(30 + x )
                                             =
205
14
 x + 7(15 + x ) +
85
28
(30 + x )
                                             =
205
14
 x + 7 × 15 + 7 x +
85
28
(30 + x )
                                             =
205
14
 x + 105 + 7 x +
85
28
(30 + x )
                                             =
303
14
 x + 105 +
85
28
(30 + x )
                                             =
303
14
 x + 105 +
85
28
 × 30 +
85
28
 x
                                             =
303
14
 x + 105 +
1275
14
 +
85
28
 x
                                             =
691
28
 x +
2745
14
    The equation is transformed into :
     
691
28
 x +
2745
14
 = 1251

    Transposition :
     
691
28
 x = 1251 −
2745
14

    Combine the items on the right of the equation:
     
691
28
 x =
14769
14

    The coefficient of the unknown number is reduced to 1 :
      x =
14769
14
 ÷
691
28
        =
14769
14
 ×
28
691
        = 14769 ×
2
691

    We obtained :
      x =
29538
691
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 42.746744



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。