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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 (153+430.5)/31*x+225/31*(x+15)+43/31(x+30) = 907 .
    Question type: Equation
    Solution:Original question:
     (153 +
861
2
) ÷ 31 × x + 225 ÷ 31 × ( x + 15) + 43 ÷ 31 × ( x + 30) = 907
     Left side of the equation = (153 +
861
2
) ×
1
31
x +
225
31
( x + 15) +
43
31
( x + 30)
    The equation is transformed into :
     (153 +
861
2
) ×
1
31
x +
225
31
( x + 15) +
43
31
( x + 30) = 907
    Remove the bracket on the left of the equation:
     Left side of the equation = 153 ×
1
31
x +
861
2
×
1
31
x +
225
31
( x + 15) +
43
31
( x + 30)
                                             =
153
31
x +
861
62
x +
225
31
( x + 15) +
43
31
( x + 30)
                                             =
1167
62
x +
225
31
( x + 15) +
43
31
( x + 30)
                                             =
1167
62
x +
225
31
x +
225
31
× 15 +
43
31
( x + 30)
                                             =
1167
62
x +
225
31
x +
3375
31
+
43
31
( x + 30)
                                             =
1617
62
x +
3375
31
+
43
31
( x + 30)
                                             =
1617
62
x +
3375
31
+
43
31
x +
43
31
× 30
                                             =
1617
62
x +
3375
31
+
43
31
x +
1290
31
                                             =
1703
62
x +
4665
31
    The equation is transformed into :
     
1703
62
x +
4665
31
= 907

    Transposition :
     
1703
62
x = 907
4665
31

    Combine the items on the right of the equation:
     
1703
62
x =
23452
31

    The coefficient of the unknown number is reduced to 1 :
      x =
23452
31
÷
1703
62
        =
23452
31
×
62
1703
        = 1804 ×
2
131

    We obtained :
      x =
3608
131
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 27.541985



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