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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 0.5/（50/Q+6.8） = 0.51/(40/Q+8.5) .
    Question type: Equation
    Solution:Original question:
     
1
2
 ÷ (50 ÷ Q +
34
5
) =
51
100
 ÷ (40 ÷ Q +
17
2
)
     Multiply both sides of the equation by:(50 ÷ Q +
34
5
) ,  (40 ÷ Q +
17
2
)
     
1
2
(40 ÷ Q +
17
2
) =
51
100
(50 ÷ Q +
34
5
)
    Remove a bracket on the left of the equation:：
     
1
2
 × 40 ÷ Q +
1
2
 ×
17
2
 =
51
100
(50 ÷ Q +
34
5
)
    Remove a bracket on the right of the equation:：
     
1
2
 × 40 ÷ Q +
1
2
 ×
17
2
 =
51
100
 × 50 ÷ Q +
51
100
 ×
34
5
    The equation is reduced to :
     20 ÷ Q +
17
4
 =
51
2
 ÷ Q +
867
250
     Multiply both sides of the equation by: Q
     20 +
17
4
 Q =
51
2
 ÷ 1 × 1 +
867
250
 Q

    Transposition :
     
17
4
 Q −
867
250
 Q =
51
2
 ÷ 1 × 1 − 20

    Calculate the items on the right of the equation:
     
17
4
 Q −
867
250
 Q =
51
2
 − 20

    Combine the items on the left of the equation:
     
391
500
 Q =
51
2
 − 20

    Combine the items on the right of the equation:
     
391
500
 Q =
11
2

    The coefficient of the unknown number is reduced to 1 :
      Q =
11
2
 ÷
391
500
        =
11
2
 ×
500
391
        = 11 ×
250
391

    We obtained :
      Q =
2750
391
    This is the solution of the equation.

    Convert the result to decimal form :
      Q = 7.033248



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