Mathematics
         
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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) .
    Question type: Equation
    Solution:Original question:
     (40 ÷ x +
17
2
) = (50 ÷ x +
34
5
)
    Remove a bracket on the left of the equation::
     40 ÷ x +
17
2
= (50 ÷ x +
34
5
)
    Remove a bracket on the right of the equation::
     40 ÷ x +
17
2
= 50 ÷ x +
34
5
     Multiply both sides of the equation by: x
     40 +
17
2
x = 50 ÷ 1 × 1 +
34
5
x

    Transposition :
     
17
2
x
34
5
x = 50 ÷ 1 × 140

    Calculate the items on the right of the equation:
     
17
2
x
34
5
x = 5040

    Combine the items on the left of the equation:
     
17
10
x = 5040

    Combine the items on the right of the equation:
     
17
10
x = 10

    The coefficient of the unknown number is reduced to 1 :
      x = 10 ÷
17
10
        = 10 ×
10
17

    We obtained :
      x =
100
17
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 5.882353



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