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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 （40÷X+8.5）÷（50÷X+6.8） = 0.507÷0.493 .
    Question type: Equation
    Solution:Original question:
     (40 ÷ X +
17
2
) ÷ (50 ÷ X +
34
5
) =
507
1000
 ÷
493
1000
     Multiply both sides of the equation by:(50 ÷ X +
34
5
)
     (40 ÷ X +
17
2
) =
507
1000
 ÷
493
1000
 × (50 ÷ X +
34
5
)
    Remove a bracket on the left of the equation:：
     40 ÷ X +
17
2
 =
507
1000
 ÷
493
1000
 × (50 ÷ X +
34
5
)
    Remove a bracket on the right of the equation:：
     40 ÷ X +
17
2
 =
507
1000
 ÷
493
1000
 × 50 ÷ X +
507
1000
 ÷
493
1000
 ×
34
5
    The equation is reduced to :
     40 ÷ X +
17
2
 =
25350
493
 ÷ X +
1014
145
     Multiply both sides of the equation by: X
     40 +
17
2
 X =
25350
493
 ÷ 1 × 1 +
1014
145
 X

    Transposition :
     
17
2
 X −
1014
145
 X =
25350
493
 ÷ 1 × 1 − 40

    Calculate the items on the right of the equation:
     
17
2
 X −
1014
145
 X =
25350
493
 − 40

    Combine the items on the left of the equation:
     
437
290
 X =
25350
493
 − 40

    Combine the items on the right of the equation:
     
437
290
 X =
5630
493

    The coefficient of the unknown number is reduced to 1 :
      X =
5630
493
 ÷
437
290
        =
5630
493
 ×
290
437

    We obtained :
      X =
1632700
215441
    This is the solution of the equation.

    By reducing fraction, we can get:
      X =
56300
7429

    Convert the result to decimal form :
      X = 7.578409



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