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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 (124+282)/31*x+265/31*(x+15)+106.5/31(x+30) = 1208 .
    Question type: Equation
    Solution:Original question:
     (124 + 282) ÷ 31 × x + 265 ÷ 31 × ( x + 15) +
213
2
÷ 31 × ( x + 30) = 1208
     Left side of the equation = (124 + 282) ×
1
31
x +
265
31
( x + 15) +
213
62
( x + 30)
    The equation is transformed into :
     (124 + 282) ×
1
31
x +
265
31
( x + 15) +
213
62
( x + 30) = 1208
    Remove the bracket on the left of the equation:
     Left side of the equation = 124 ×
1
31
x + 282 ×
1
31
x +
265
31
( x + 15) +
213
62
( x + 30)
                                             = 4 x +
282
31
x +
265
31
( x + 15) +
213
62
( x + 30)
                                             =
406
31
x +
265
31
( x + 15) +
213
62
( x + 30)
                                             =
406
31
x +
265
31
x +
265
31
× 15 +
213
62
( x + 30)
                                             =
406
31
x +
265
31
x +
3975
31
+
213
62
( x + 30)
                                             =
671
31
x +
3975
31
+
213
62
( x + 30)
                                             =
671
31
x +
3975
31
+
213
62
x +
213
62
× 30
                                             =
671
31
x +
3975
31
+
213
62
x +
3195
31
                                             =
1555
62
x +
7170
31
    The equation is transformed into :
     
1555
62
x +
7170
31
= 1208

    Transposition :
     
1555
62
x = 1208
7170
31

    Combine the items on the right of the equation:
     
1555
62
x =
30278
31

    The coefficient of the unknown number is reduced to 1 :
      x =
30278
31
÷
1555
62
        =
30278
31
×
62
1555
        = 30278 ×
2
1555

    We obtained :
      x =
60556
1555
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 38.942765



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