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 10% = （（1/（70%-15%））*8%*X）/（1-（1/（70%-15%））*8%*X） .
    Question type: Equation
    Solution:Original question:
     
10
100
 = ((1 ÷ (
70
100
 −
15
100
)) ×
8
100
 X ) ÷ (1 − (1 ÷ (
70
100
 −
15
100
)) ×
8
100
 X )
     Multiply both sides of the equation by:(1 − (1 ÷ (
70
100
 −
15
100
)) ×
8
100
 X )
     
10
100
(1 − (1 ÷ (
70
100
 −
15
100
)) ×
8
100
 X ) = ((1 ÷ (
70
100
 −
15
100
)) ×
8
100
 X )
    Remove a bracket on the left of the equation:：
     
10
100
 × 1 −
10
100
(1 ÷ (
70
100
 −
15
100
)) ×
8
100
 X = ((1 ÷ (
70
100
 −
15
100
)) ×
8
100
 X )
    Remove a bracket on the right of the equation:：
     
10
100
 × 1 −
10
100
(1 ÷ (
70
100
 −
15
100
)) ×
8
100
 X = (1 ÷ (
70
100
 −
15
100
)) ×
8
100
 X
    The equation is reduced to :
     
1
10
 −
1
125
(1 ÷ (
70
100
 −
15
100
)) X = (1 ÷ (
70
100
 −
15
100
)) ×
8
100
 X
    Remove a bracket on the left of the equation:
     
1
10
 −
1
125
 × 1 ÷ (
70
100
 −
15
100
) × X = (1 ÷ (
70
100
 −
15
100
)) ×
8
100
 X
    Remove a bracket on the right of the equation:：
     
1
10
 −
1
125
 × 1 ÷ (
70
100
 −
15
100
) × X = 1 ÷ (
70
100
 −
15
100
) ×
8
100
 X
    The equation is reduced to :
     
1
10
 −
1
125
 ÷ (
70
100
 −
15
100
) × X =
2
25
 ÷ (
70
100
 −
15
100
) × X
     Multiply both sides of the equation by:(
70
100
 −
15
100
) ,  (
70
100
 −
15
100
)
     
1
10
(
70
100
 −
15
100
)(
70
100
 −
15
100
) −
1
125
 X (
70
100
 −
15
100
) =
2
25
 X (
70
100
 −
15
100
)
    Remove a bracket on the left of the equation:
     
1
10
 ×
70
100
(
70
100
 −
15
100
) −
1
10
 ×
15
100
(
70
100
 −
15
100
) −
1
125
 X (
70
100
 −
15
100
) =
2
25
 X (
70
100
 −
15
100
)
    Remove a bracket on the right of the equation:：
     
1
10
 ×
70
100
(
70
100
 −
15
100
) −
1
10
 ×
15
100
(
70
100
 −
15
100
) −
1
125
 X (
70
100
 −
15
100
) =
2
25
 X ×
70
100
 −
2
25
 X ×
15
100
    The equation is reduced to :
     
7
100
(
70
100
 −
15
100
) −
3
200
(
70
100
 −
15
100
) −
1
125
 X (
70
100
 −
15
100
) =
7
125
 X −
3
250
 X
    The equation is reduced to :
     
7
100
(
70
100
 −
15
100
) −
3
200
(
70
100
 −
15
100
) −
1
125
 X (
70
100
 −
15
100
) =
11
250
 X
    Remove a bracket on the left of the equation:
     
7
100
 ×
70
100
 −
7
100
 ×
15
100
 −
3
200
(
70
100
 −
15
100
) −
1
125
 X (
70
100
 −
15
100
) =
11
250
 X
    The equation is reduced to :
     
49
1000
 −
21
2000
 −
3
200
(
70
100
 −
15
100
) −
1
125
 X (
70
100
 −
15
100
) =
11
250
 X
    The equation is reduced to :
     
77
2000
 −
3
200
(
70
100
 −
15
100
) −
1
125
 X (
70
100
 −
15
100
) =
11
250
 X
    Remove a bracket on the left of the equation:
     
77
2000
 −
3
200
 ×
70
100
 +
3
200
 ×
15
100
 −
1
125
 X (
70
100
 −
15
100
) =
11
250
 X
    The equation is reduced to :
     
77
2000
 −
21
2000
 +
9
4000
 −
1
125
 X (
70
100
 −
15
100
) =
11
250
 X
    The equation is reduced to :
     
121
4000
 −
1
125
 X (
70
100
 −
15
100
) =
11
250
 X
    Remove a bracket on the left of the equation:
     
121
4000
 −
1
125
 X ×
70
100
 +
1
125
 X ×
15
100
 =
11
250
 X
    The equation is reduced to :
     
121
4000
 −
7
1250
 X +
3
2500
 X =
11
250
 X
    The equation is reduced to :
     
121
4000
 −
11
2500
 X =
11
250
 X

    Transposition :
      -
11
2500
 X −
11
250
 X = -
121
4000

    Combine the items on the left of the equation:
      -
121
2500
 X = -
121
4000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
121
4000
 =
121
2500
 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 :
     
121
2500
 X =
121
4000

    The coefficient of the unknown number is reduced to 1 :
      X =
121
4000
 ÷
121
2500
        =
121
4000
 ×
2500
121
        =
1
8
 × 5

    We obtained :
      X =
5
8
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 0.625



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。