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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 5y+(1200-y)*15 = (25y+45*(1200-y))*0.3 .
    Question type: Equation
    Solution:Original question:
     5 y + (1200 y ) × 15 = (25 y + 45(1200 y )) ×
3
10
    Remove the bracket on the left of the equation:
     Left side of the equation = 5 y + 1200 × 15 y × 15
                                             = 5 y + 18000 y × 15
                                             = - 10 y + 18000
    The equation is transformed into :
      - 10 y + 18000 = (25 y + 45(1200 y )) ×
3
10
    Remove the bracket on the right of the equation:
     Right side of the equation = 25 y ×
3
10
+ 45(1200 y ) ×
3
10
                                               =
15
2
y +
27
2
(1200 y )
                                               =
15
2
y +
27
2
× 1200
27
2
y
                                               =
15
2
y + 16200
27
2
y
                                               = - 6 y + 16200
    The equation is transformed into :
      - 10 y + 18000 = - 6 y + 16200

    Transposition :
      - 10 y + 6 y = 1620018000

    Combine the items on the left of the equation:
      - 4 y = 1620018000

    Combine the items on the right of the equation:
      - 4 y = - 1800

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     1800 = 4 y

    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 :
     4 y = 1800

    The coefficient of the unknown number is reduced to 1 :
      y = 1800 ÷ 4
        = 1800 ×
1
4
        = 450 × 1

    We obtained :
      y = 450
    This is the solution of the equation.



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