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 (X-7%)/(8%-7%） = (X-204.1)/(196.01-204.1) .
    Question type: Equation
    Solution:Original question:
     ( X −
7
100
) ÷ (
8
100
 −
7
100
) = ( X −
2041
10
) ÷ (
19601
100
 −
2041
10
)
     Multiply both sides of the equation by:(
8
100
 −
7
100
) ,  (
19601
100
 −
2041
10
)
     ( X −
7
100
)(
19601
100
 −
2041
10
) = ( X −
2041
10
)(
8
100
 −
7
100
)
    Remove a bracket on the left of the equation:：
      X (
19601
100
 −
2041
10
) −
7
100
(
19601
100
 −
2041
10
) = ( X −
2041
10
)(
8
100
 −
7
100
)
    Remove a bracket on the right of the equation:：
      X (
19601
100
 −
2041
10
) −
7
100
(
19601
100
 −
2041
10
) = X (
8
100
 −
7
100
) −
2041
10
(
8
100
 −
7
100
)
    Remove a bracket on the left of the equation:
      X ×
19601
100
 − X ×
2041
10
 −
7
100
(
19601
100
 −
2041
10
) = X (
8
100
 −
7
100
) −
2041
10
(
8
100
 −
7
100
)
    Remove a bracket on the right of the equation:：
      X ×
19601
100
 − X ×
2041
10
 −
7
100
(
19601
100
 −
2041
10
) = X ×
8
100
 − X ×
7
100
 −
2041
10
(
8
100
 −
7
100
)
    The equation is reduced to :
      -
809
100
 X −
7
100
(
19601
100
 −
2041
10
) =
1
100
 X −
2041
10
(
8
100
 −
7
100
)
    Remove a bracket on the left of the equation:
      -
809
100
 X −
7
100
 ×
19601
100
 +
7
100
 ×
2041
10
 =
1
100
 X −
2041
10
(
8
100
 −
7
100
)
    Remove a bracket on the right of the equation:：
      -
809
100
 X −
7
100
 ×
19601
100
 +
7
100
 ×
2041
10
 =
1
100
 X −
2041
10
 ×
8
100
 +
2041
10
 ×
7
100
    The equation is reduced to :
      -
809
100
 X −
137207
10000
 +
14287
1000
 =
1
100
 X −
2041
125
 +
14287
1000
    The equation is reduced to :
      -
809
100
 X +
5663
10000
 =
1
100
 X −
2041
1000

    Transposition :
      -
809
100
 X −
1
100
 X = -
2041
1000
 −
5663
10000

    Combine the items on the left of the equation:
      -
81
10
 X = -
2041
1000
 −
5663
10000

    Combine the items on the right of the equation:
      -
81
10
 X = -
26073
10000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
26073
10000
 =
81
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 :
     
81
10
 X =
26073
10000

    The coefficient of the unknown number is reduced to 1 :
      X =
26073
10000
 ÷
81
10
        =
26073
10000
 ×
10
81
        =
2897
1000
 ×
1
9

    We obtained :
      X =
2897
9000
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 0.321889



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。