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    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 0.6×(1+X)/[12×(1-6%)]+X = 11% .
    Question type: Equation
    Solution:Original question:
     
3
5
(1 + X ) ÷ (12(1
6
100
)) + X =
11
100
     Multiply both sides of the equation by:(12(1
6
100
))
     
3
5
(1 + X ) + X (12(1
6
100
)) =
11
100
(12(1
6
100
))
    Remove a bracket on the left of the equation::
     
3
5
× 1 +
3
5
X + X (12(1
6
100
)) =
11
100
(12(1
6
100
))
    Remove a bracket on the right of the equation::
     
3
5
× 1 +
3
5
X + X (12(1
6
100
)) =
11
100
× 12(1
6
100
)
    The equation is reduced to :
     
3
5
+
3
5
X + X (12(1
6
100
)) =
33
25
(1
6
100
)
    Remove a bracket on the left of the equation:
     
3
5
+
3
5
X + X × 12(1
6
100
) =
33
25
(1
6
100
)
    Remove a bracket on the right of the equation::
     
3
5
+
3
5
X + X × 12(1
6
100
) =
33
25
× 1
33
25
×
6
100
    The equation is reduced to :
     
3
5
+
3
5
X + X × 12(1
6
100
) =
33
25
99
1250
    The equation is reduced to :
     
3
5
+
3
5
X + X × 12(1
6
100
) =
1551
1250
    Remove a bracket on the left of the equation:
     
3
5
+
3
5
X + X × 12 × 1 X × 12 ×
6
100
=
1551
1250
    The equation is reduced to :
     
3
5
+
3
5
X + X × 12 X ×
18
25
=
1551
1250
    The equation is reduced to :
     
3
5
+
297
25
X =
1551
1250

    Transposition :
     
297
25
X =
1551
1250
3
5

    Combine the items on the right of the equation:
     
297
25
X =
801
1250

    The coefficient of the unknown number is reduced to 1 :
      X =
801
1250
÷
297
25
        =
801
1250
×
25
297
        =
89
50
×
1
33

    We obtained :
      X =
89
1650
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 0.053939



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