Mathematics
         
语言:中文    Language:English
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 1.57*9*(X+300)+1.55*30*(X+200)+1.55*90*(X+100)+156*1.57*1300 = 600000 .
    Question type: Equation
    Solution:Original question:
     
157
100
× 9( X + 300) +
31
20
× 30( X + 200) +
31
20
× 90( X + 100) + 156 ×
157
100
× 1300 = 600000
     Left side of the equation =
1413
100
( X + 300) +
93
2
( X + 200) +
279
2
( X + 100) + 318396
    The equation is transformed into :
     
1413
100
( X + 300) +
93
2
( X + 200) +
279
2
( X + 100) + 318396 = 600000
    Remove the bracket on the left of the equation:
     Left side of the equation =
1413
100
X +
1413
100
× 300 +
93
2
( X + 200) +
279
2
( X + 100) + 318396
                                             =
1413
100
X + 4239 +
93
2
( X + 200) +
279
2
( X + 100) + 318396
                                             =
1413
100
X + 322635 +
93
2
( X + 200) +
279
2
( X + 100)
                                             =
1413
100
X + 322635 +
93
2
X +
93
2
× 200 +
279
2
( X + 100)
                                             =
1413
100
X + 322635 +
93
2
X + 9300 +
279
2
( X + 100)
                                             =
6063
100
X + 331935 +
279
2
( X + 100)
                                             =
6063
100
X + 331935 +
279
2
X +
279
2
× 100
                                             =
6063
100
X + 331935 +
279
2
X + 13950
                                             =
20013
100
X + 345885
    The equation is transformed into :
     
20013
100
X + 345885 = 600000

    Transposition :
     
20013
100
X = 600000345885

    Combine the items on the right of the equation:
     
20013
100
X = 254115

    The coefficient of the unknown number is reduced to 1 :
      X = 254115 ÷
20013
100
        = 254115 ×
100
20013
        = 84705 ×
100
6671

    We obtained :
      X =
8470500
6671
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 1269.749663



Your problem has not been solved here? Please go to the Hot Problems section!





  New addition:Lenders ToolBox module(Specific location:Math OP > Lenders ToolBox ),welcome。