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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 0.493/(50/Q+6.8) = 0.507/(40/Q+8.5) .
    Question type: Equation
    Solution:Original question:
     
493
1000
 ÷ (50 ÷ Q +
34
5
) =
507
1000
 ÷ (40 ÷ Q +
17
2
)
     Multiply both sides of the equation by:(50 ÷ Q +
34
5
) ,  (40 ÷ Q +
17
2
)
     
493
1000
(40 ÷ Q +
17
2
) =
507
1000
(50 ÷ Q +
34
5
)
    Remove a bracket on the left of the equation:：
     
493
1000
 × 40 ÷ Q +
493
1000
 ×
17
2
 =
507
1000
(50 ÷ Q +
34
5
)
    Remove a bracket on the right of the equation:：
     
493
1000
 × 40 ÷ Q +
493
1000
 ×
17
2
 =
507
1000
 × 50 ÷ Q +
507
1000
 ×
34
5
    The equation is reduced to :
     
493
25
 ÷ Q +
8381
2000
 =
507
20
 ÷ Q +
8619
2500
     Multiply both sides of the equation by: Q
     
493
25
 +
8381
2000
 Q =
507
20
 ÷ 1 × 1 +
8619
2500
 Q

    Transposition :
     
8381
2000
 Q −
8619
2500
 Q =
507
20
 ÷ 1 × 1 −
493
25

    Calculate the items on the right of the equation:
     
8381
2000
 Q −
8619
2500
 Q =
507
20
 −
493
25

    Combine the items on the left of the equation:
     
7429
10000
 Q =
507
20
 −
493
25

    Combine the items on the right of the equation:
     
7429
10000
 Q =
563
100

    The coefficient of the unknown number is reduced to 1 :
      Q =
563
100
 ÷
7429
10000
        =
563
100
 ×
10000
7429
        = 563 ×
100
7429

    We obtained :
      Q =
56300
7429
    This is the solution of the equation.

    Convert the result to decimal form :
      Q = 7.578409



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