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 (x*155+31*35.5)/(155+31) = 22.6 .
    Question type: Equation
    Solution:Original question:
     ( x × 155 + 31 ×
71
2
) ÷ (155 + 31) =
113
5
     Multiply both sides of the equation by:(155 + 31)
     ( x × 155 + 31 ×
71
2
) =
113
5
(155 + 31)
    Remove a bracket on the left of the equation::
      x × 155 + 31 ×
71
2
=
113
5
(155 + 31)
    Remove a bracket on the right of the equation::
      x × 155 + 31 ×
71
2
=
113
5
× 155 +
113
5
× 31
    The equation is reduced to :
      x × 155 +
2201
2
= 3503 +
3503
5
    The equation is reduced to :
     155 x +
2201
2
=
21018
5

    Transposition :
     155 x =
21018
5
2201
2

    Combine the items on the right of the equation:
     155 x =
31031
10

    The coefficient of the unknown number is reduced to 1 :
      x =
31031
10
÷ 155
        =
31031
10
×
1
155

    We obtained :
      x =
31031
1550
    This is the solution of the equation.

    By reducing fraction, we can get:
      x =
1001
50

    Convert the result to decimal form :
      x = 20.02



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