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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 (20%*10+75%*x)/(10+x) = 25% .
    Question type: Equation
    Solution:Original question:
     (
20
100
× 10 +
75
100
x ) ÷ (10 + x ) =
25
100
     Multiply both sides of the equation by:(10 + x )
     (
20
100
× 10 +
75
100
x ) =
25
100
(10 + x )
    Remove a bracket on the left of the equation::
     
20
100
× 10 +
75
100
x =
25
100
(10 + x )
    Remove a bracket on the right of the equation::
     
20
100
× 10 +
75
100
x =
25
100
× 10 +
25
100
x
    The equation is reduced to :
     2 +
75
100
x =
5
2
+
25
100
x

    Transposition :
     
75
100
x
25
100
x =
5
2
2

    Combine the items on the left of the equation:
     
1
2
x =
5
2
2

    Combine the items on the right of the equation:
     
1
2
x =
1
2

    The coefficient of the unknown number is reduced to 1 :
      x =
1
2
÷
1
2
        =
1
2
× 2
        = 1 × 1

    We obtained :
      x = 1
    This is the solution of the equation.



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