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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 (89.43-78.15)/(78.15-78.41) = (81.46-78.15)/(x-78.41) .
    Question type: Equation
    Solution:Original question:
     (
8943
100
1563
20
) ÷ (
1563
20
7841
100
) = (
4073
50
1563
20
) ÷ ( x
7841
100
)
     Multiply both sides of the equation by:(
1563
20
7841
100
) ,  ( x
7841
100
)
     (
8943
100
1563
20
)( x
7841
100
) = (
4073
50
1563
20
)(
1563
20
7841
100
)
    Remove a bracket on the left of the equation::
     
8943
100
( x
7841
100
)
1563
20
( x
7841
100
) = (
4073
50
1563
20
)(
1563
20
7841
100
)
    Remove a bracket on the right of the equation::
     
8943
100
( x
7841
100
)
1563
20
( x
7841
100
) =
4073
50
(
1563
20
7841
100
)
1563
20
(
1563
20
7841
100
)
    Remove a bracket on the left of the equation:
     
8943
100
x
8943
100
×
7841
100
1563
20
( x
7841
100
) =
4073
50
(
1563
20
7841
100
)
1563
20
(
1563
20
7841
100
)
    Remove a bracket on the right of the equation::
     
8943
100
x
8943
100
×
7841
100
1563
20
( x
7841
100
) =
4073
50
×
1563
20
4073
50
×
7841
100
1563
20
(
1563
20
7841
100
)
    The equation is reduced to :
     
8943
100
x
70122063
10000
1563
20
( x
7841
100
) =
6366099
1000
31936393
5000
1563
20
(
1563
20
7841
100
)
    The equation is reduced to :
     
8943
100
x
70122063
10000
1563
20
( x
7841
100
) = -
52949
2500
1563
20
(
1563
20
7841
100
)
    Remove a bracket on the left of the equation:
     
8943
100
x
70122063
10000
1563
20
x +
1563
20
×
7841
100
= -
52949
2500
1563
20
(
1563
20
7841
100
)
    Remove a bracket on the right of the equation::
     
8943
100
x
70122063
10000
1563
20
x +
1563
20
×
7841
100
= -
52949
2500
1563
20
×
1563
20
+
1563
20
×
7841
100
    The equation is reduced to :
     
8943
100
x
70122063
10000
1563
20
x +
12255483
2000
= -
52949
2500
2442969
400
+
12255483
2000

    
        x≈78.333706 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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