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 [(71+x)/220+1]÷(x/220+1) = 16.7 .
    Question type: Equation
    Solution:Original question:
     ((71 + x ) ÷ 220 + 1) ÷ ( x ÷ 220 + 1) =
167
10
     Multiply both sides of the equation by:( x ÷ 220 + 1)
     ((71 + x ) ÷ 220 + 1) =
167
10
( x ÷ 220 + 1)
    Remove a bracket on the left of the equation:：
     (71 + x ) ÷ 220 + 1 =
167
10
( x ÷ 220 + 1)
    Remove a bracket on the right of the equation:：
     (71 + x ) ÷ 220 + 1 =
167
10
 x ÷ 220 +
167
10
 × 1
    The equation is reduced to :
     (71 + x ) ×
1
220
 + 1 =
167
2200
 x +
167
10
    Remove a bracket on the left of the equation:
     71 ×
1
220
 + x ×
1
220
 + 1 =
167
2200
 x +
167
10
    The equation is reduced to :
     
71
220
 + x ×
1
220
 + 1 =
167
2200
 x +
167
10
    The equation is reduced to :
     
291
220
 +
1
220
 x =
167
2200
 x +
167
10

    Transposition :
     
1
220
 x −
167
2200
 x =
167
10
 −
291
220

    Combine the items on the left of the equation:
      -
157
2200
 x =
167
10
 −
291
220

    Combine the items on the right of the equation:
      -
157
2200
 x =
3383
220

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      -
3383
220
 =
157
2200
 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 :
     
157
2200
 x = -
3383
220

    The coefficient of the unknown number is reduced to 1 :
      x = -
3383
220
 ÷
157
2200
        = -
3383
220
 ×
2200
157
        = - 3383 ×
10
157

    We obtained :
      x = -
33830
157
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 215.477707



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。