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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 （y-217.30）/217.30*100-（-4.5） = （y-207.53）/207.53*100 .
    Question type: Equation
    Solution:Original question:
     ( y −
2173
10
) ÷
2173
10
 × 100 − ( -
9
2
) = ( y −
20753
100
) ÷
20753
100
 × 100
     Left side of the equation = ( y −
2173
10
) ×
1000
2173
 − ( -
9
2
)
    The equation is transformed into :
     ( y −
2173
10
) ×
1000
2173
 − ( -
9
2
) = ( y −
20753
100
) ÷
20753
100
 × 100
    Remove the bracket on the left of the equation:
     Left side of the equation = y ×
1000
2173
 −
2173
10
 ×
1000
2173
 − ( -
9
2
)
                                             = y ×
1000
2173
 − 100 − ( -
9
2
)
                                             =
1000
2173
 y − 100 +
9
2
                                             =
1000
2173
 y −
191
2
    The equation is transformed into :
     
1000
2173
 y −
191
2
 = ( y −
20753
100
) ÷
20753
100
 × 100
     Right side of the equation = ( y −
20753
100
) ×
10000
20753
    The equation is transformed into :
     
1000
2173
 y −
191
2
 = ( y −
20753
100
) ×
10000
20753
    Remove the bracket on the right of the equation:
     Right side of the equation = y ×
10000
20753
 −
20753
100
 ×
10000
20753
                                               = y ×
10000
20753
 −
2075300
20753
    The equation is transformed into :
     
1000
2173
 y −
191
2
 =
10000
20753
 y −
2075300
20753

    Transposition :
     
1000
2173
 y −
10000
20753
 y = -
2075300
20753
 +
191
2

    Combine the items on the left of the equation:
      -
977000
45096269
 y = -
2075300
20753
 +
191
2

    Combine the items on the right of the equation:
      -
977000
45096269
 y = -
186777
41506

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
186777
41506
 =
977000
45096269
 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 :
     
977000
45096269
 y =
186777
41506

    The coefficient of the unknown number is reduced to 1 :
      y =
186777
41506
 ÷
977000
45096269
        =
186777
41506
 ×
45096269
977000

    We obtained :
      y =
8422945835013
40551362000
    This is the solution of the equation.



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