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 0 = (70%-15%)×10%-(1+10%)×8%×(1-X) .
    Question type: Equation
    Solution:Original question:
     0 = (
70
100
15
100
) ×
10
100
(1 +
10
100
) ×
8
100
(1 X )
    Remove the bracket on the right of the equation:
     Right side of the equation =
70
100
×
10
100
15
100
×
10
100
(1 +
10
100
) ×
8
100
(1 X )
                                               =
7
100
3
200
(1 +
10
100
) ×
8
100
(1 X )
                                               =
11
200
(1 +
10
100
) ×
8
100
(1 X )
                                               =
11
200
1 ×
8
100
(1 X )
10
100
×
8
100
(1 X )
                                               =
11
200
2
25
(1 X )
1
125
(1 X )
                                               =
11
200
2
25
× 1 +
2
25
X
1
125
(1 X )
                                               =
11
200
2
25
+
2
25
X
1
125
(1 X )
                                               = -
1
40
+
2
25
X
1
125
(1 X )
                                               = -
1
40
+
2
25
X
1
125
× 1 +
1
125
X
                                               = -
1
40
+
2
25
X
1
125
+
1
125
X
                                               = -
33
1000
+
11
125
X
    The equation is transformed into :
     0 = -
33
1000
+
11
125
X

    Transposition :
      -
11
125
X = -
33
1000
0

    Combine the items on the right of the equation:
      -
11
125
X = -
33
1000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
33
1000
=
11
125
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 :
     
11
125
X =
33
1000

    The coefficient of the unknown number is reduced to 1 :
      X =
33
1000
÷
11
125
        =
33
1000
×
125
11
        =
3
8
× 1

    We obtained :
      X =
3
8
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 0.375



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。