Mathematics
         
语言:中文    Language:English
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 x-x/1.01*0.01-(x/1.01-800)*0.02 = 2000 .
    Question type: Equation
    Solution:Original question:
      x x ÷
101
100
×
1
100
( x ÷
101
100
800) ×
1
50
= 2000
     Left side of the equation = x x ×
1
101
( x ÷
101
100
800) ×
1
50
                                             =
100
101
x ( x ÷
101
100
800) ×
1
50
    The equation is transformed into :
     
100
101
x ( x ÷
101
100
800) ×
1
50
= 2000
    Remove the bracket on the left of the equation:
     Left side of the equation =
100
101
x x ÷
101
100
×
1
50
+ 800 ×
1
50
                                             =
100
101
x x ×
2
101
+ 16
                                             =
98
101
x + 16
    The equation is transformed into :
     
98
101
x + 16 = 2000

    Transposition :
     
98
101
x = 200016

    Combine the items on the right of the equation:
     
98
101
x = 1984

    The coefficient of the unknown number is reduced to 1 :
      x = 1984 ÷
98
101
        = 1984 ×
101
98
        = 992 ×
101
49

    We obtained :
      x =
100192
49
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 2044.734694



Your problem has not been solved here? Please go to the Hot Problems section!





  New addition:Lenders ToolBox module(Specific location:Math OP > Lenders ToolBox ),welcome。