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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 (0.9189b+16)/(b+16) = 0.9197 .
    Question type: Equation
    Solution:Original question:
     (
9189
10000
b + 16) ÷ ( b + 16) =
9197
10000
     Multiply both sides of the equation by:( b + 16)
     (
9189
10000
b + 16) =
9197
10000
( b + 16)
    Remove a bracket on the left of the equation::
     
9189
10000
b + 16 =
9197
10000
( b + 16)
    Remove a bracket on the right of the equation::
     
9189
10000
b + 16 =
9197
10000
b +
9197
10000
× 16
    The equation is reduced to :
     
9189
10000
b + 16 =
9197
10000
b +
9197
625

    Transposition :
     
9189
10000
b
9197
10000
b =
9197
625
16

    Combine the items on the left of the equation:
      -
1
1250
b =
9197
625
16

    Combine the items on the right of the equation:
      -
1
1250
b = -
803
625

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
803
625
=
1
1250
b

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     
1
1250
b =
803
625

    The coefficient of the unknown number is reduced to 1 :
      b =
803
625
÷
1
1250
        =
803
625
× 1250
        = 803 × 2

    We obtained :
      b = 1606
    This is the solution of the equation.



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