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    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 (11*60+57)-x+9677/6+2(7*60+21-x)/3 = (43.5*60) .
    Question type: Equation
    Solution:Original question:
     (11 × 60 + 57) x + 9677 ÷ 6 + 2(7 × 60 + 21 x ) ÷ 3 = (
87
2
× 60)
     Left side of the equation = (11 × 60 + 57) x +
9677
6
+
2
3
(7 × 60 + 21 x )
    The equation is transformed into :
     (11 × 60 + 57) x +
9677
6
+
2
3
(7 × 60 + 21 x ) = (
87
2
× 60)
    Remove the bracket on the left of the equation:
     Left side of the equation = 11 × 60 + 57 x +
9677
6
+
2
3
(7 × 60 + 21 x )
                                             = 660 + 57 x +
9677
6
+
2
3
(7 × 60 + 21 x )
                                             =
13979
6
x +
2
3
(7 × 60 + 21 x )
                                             =
13979
6
x +
2
3
× 7 × 60 +
2
3
× 21
2
3
x
                                             =
13979
6
x + 280 + 14
2
3
x
                                             =
15743
6
5
3
x
    The equation is transformed into :
     
15743
6
5
3
x = (
87
2
× 60)
    Remove the bracket on the right of the equation:
     Right side of the equation =
87
2
× 60
                                               = 2610
    The equation is transformed into :
     
15743
6
5
3
x = 2610

    Transposition :
      -
5
3
x = 2610
15743
6

    Combine the items on the right of the equation:
      -
5
3
x = -
83
6

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
83
6
=
5
3
x

    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 :
     
5
3
x =
83
6

    The coefficient of the unknown number is reduced to 1 :
      x =
83
6
÷
5
3
        =
83
6
×
3
5
        =
83
2
×
1
5

    We obtained :
      x =
83
10
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 8.3



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