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 (1.205-x)*(30-27.5) = (x-1.165)*7.5 .
    Question type: Equation
    Solution:Original question:
     (
241
200
 − x )(30 −
55
2
) = ( x −
233
200
) ×
15
2
    Remove the bracket on the left of the equation:
     Left side of the equation =
241
200
(30 −
55
2
) − x (30 −
55
2
)
                                             =
241
200
 × 30 −
241
200
 ×
55
2
 − x (30 −
55
2
)
                                             =
723
20
 −
2651
80
 − x (30 −
55
2
)
                                             =
241
80
 − x (30 −
55
2
)
                                             =
241
80
 − x × 30 + x ×
55
2
                                             =
241
80
 −
5
2
 x
    The equation is transformed into :
     
241
80
 −
5
2
 x = ( x −
233
200
) ×
15
2
    Remove the bracket on the right of the equation:
     Right side of the equation = x ×
15
2
 −
233
200
 ×
15
2
                                               = x ×
15
2
 −
699
80
    The equation is transformed into :
     
241
80
 −
5
2
 x =
15
2
 x −
699
80

    Transposition :
      -
5
2
 x −
15
2
 x = -
699
80
 −
241
80

    Combine the items on the left of the equation:
      - 10 x = -
699
80
 −
241
80

    Combine the items on the right of the equation:
      - 10 x = -
47
4

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
47
4
 = 10 x

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     10 x =
47
4

    The coefficient of the unknown number is reduced to 1 :
      x =
47
4
 ÷ 10
        =
47
4
 ×
1
10

    We obtained :
      x =
47
40
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 1.175



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。