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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 (x-5%)/(4%-5%) = (104-100)/(108.11-100) .
    Question type: Equation
    Solution:Original question:
     ( x
5
100
) ÷ (
4
100
5
100
) = (104100) ÷ (
10811
100
100)
     Multiply both sides of the equation by:(
4
100
5
100
) ,  (
10811
100
100)
     ( x
5
100
)(
10811
100
100) = (104100)(
4
100
5
100
)
    Remove a bracket on the left of the equation::
      x (
10811
100
100)
5
100
(
10811
100
100) = (104100)(
4
100
5
100
)
    Remove a bracket on the right of the equation::
      x (
10811
100
100)
5
100
(
10811
100
100) = 104(
4
100
5
100
)100(
4
100
5
100
)
    Remove a bracket on the left of the equation:
      x ×
10811
100
x × 100
5
100
(
10811
100
100) = 104(
4
100
5
100
)100(
4
100
5
100
)
    Remove a bracket on the right of the equation::
      x ×
10811
100
x × 100
5
100
(
10811
100
100) = 104 ×
4
100
104 ×
5
100
100(
4
100
5
100
)
    The equation is reduced to :
      x ×
10811
100
x × 100
5
100
(
10811
100
100) =
104
25
26
5
100(
4
100
5
100
)
    The equation is reduced to :
     
811
100
x
5
100
(
10811
100
100) = -
26
25
100(
4
100
5
100
)
    Remove a bracket on the left of the equation:
     
811
100
x
5
100
×
10811
100
+
5
100
× 100 = -
26
25
100(
4
100
5
100
)
    Remove a bracket on the right of the equation::
     
811
100
x
5
100
×
10811
100
+
5
100
× 100 = -
26
25
100 ×
4
100
+ 100 ×
5
100
    The equation is reduced to :
     
811
100
x
10811
2000
+ 5 = -
26
25
4 + 5
    The equation is reduced to :
     
811
100
x
811
2000
= -
1
25

    Transposition :
     
811
100
x = -
1
25
+
811
2000

    Combine the items on the right of the equation:
     
811
100
x =
731
2000

    The coefficient of the unknown number is reduced to 1 :
      x =
731
2000
÷
811
100
        =
731
2000
×
100
811
        =
731
20
×
1
811

    We obtained :
      x =
731
16220
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 0.045068



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