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 (5*(1223+x)+(2*48)+(3*135)+(4*204)+(1*87))/(1697+x) = 4.56 .
    Question type: Equation
    Solution:Original question:
     (5(1223 + x ) + (2 × 48) + (3 × 135) + (4 × 204) + (1 × 87)) ÷ (1697 + x ) =
114
25
     Multiply both sides of the equation by:(1697 + x )
     (5(1223 + x ) + (2 × 48) + (3 × 135) + (4 × 204) + (1 × 87)) =
114
25
(1697 + x )
    Remove a bracket on the left of the equation:：
     5(1223 + x ) + (2 × 48) + (3 × 135) + (4 × 204) + (1 × 87) =
114
25
(1697 + x )
    Remove a bracket on the right of the equation:：
     5(1223 + x ) + (2 × 48) + (3 × 135) + (4 × 204) + (1 × 87) =
114
25
 × 1697 +
114
25
 x
    The equation is reduced to :
     5(1223 + x ) + (2 × 48) + (3 × 135) + (4 × 204) + (1 × 87) =
193458
25
 +
114
25
 x
    Remove a bracket on the left of the equation:
     5 × 1223 + 5 x + (2 × 48) + (3 × 135) + (4 × 204) + (1 × 87) =
193458
25
 +
114
25
 x
    The equation is reduced to :
     6115 + 5 x + (2 × 48) + (3 × 135) + (4 × 204) + (1 × 87) =
193458
25
 +
114
25
 x
    Remove a bracket on the left of the equation:
     6115 + 5 x + 2 × 48 + (3 × 135) + (4 × 204) + (1 × 87) =
193458
25
 +
114
25
 x
    The equation is reduced to :
     6115 + 5 x + 96 + (3 × 135) + (4 × 204) + (1 × 87) =
193458
25
 +
114
25
 x
    The equation is reduced to :
     6211 + 5 x + (3 × 135) + (4 × 204) + (1 × 87) =
193458
25
 +
114
25
 x
    Remove a bracket on the left of the equation:
     6211 + 5 x + 3 × 135 + (4 × 204) + (1 × 87) =
193458
25
 +
114
25
 x
    The equation is reduced to :
     6211 + 5 x + 405 + (4 × 204) + (1 × 87) =
193458
25
 +
114
25
 x
    The equation is reduced to :
     6616 + 5 x + (4 × 204) + (1 × 87) =
193458
25
 +
114
25
 x
    Remove a bracket on the left of the equation:
     6616 + 5 x + 4 × 204 + (1 × 87) =
193458
25
 +
114
25
 x
    The equation is reduced to :
     6616 + 5 x + 816 + (1 × 87) =
193458
25
 +
114
25
 x
    The equation is reduced to :
     7432 + 5 x + (1 × 87) =
193458
25
 +
114
25
 x
    Remove a bracket on the left of the equation:
     7432 + 5 x + 1 × 87 =
193458
25
 +
114
25
 x
    The equation is reduced to :
     7432 + 5 x + 87 =
193458
25
 +
114
25
 x
    The equation is reduced to :
     7519 + 5 x =
193458
25
 +
114
25
 x

    Transposition :
     5 x −
114
25
 x =
193458
25
 − 7519

    Combine the items on the left of the equation:
     
11
25
 x =
193458
25
 − 7519

    Combine the items on the right of the equation:
     
11
25
 x =
5483
25

    The coefficient of the unknown number is reduced to 1 :
      x =
5483
25
 ÷
11
25
        =
5483
25
 ×
25
11
        = 5483 ×
1
11

    We obtained :
      x =
5483
11
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 498.454545



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。