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 (1.01+1.88*0.01)*70+2490*0.01 = (1.01+1.88x)*45+2490x .
    Question type: Equation
    Solution:Original question:
     (
101
100
+
47
25
×
1
100
) × 70 + 2490 ×
1
100
= (
101
100
+
47
25
x ) × 45 + 2490 x
     Left side of the equation = (
101
100
+
47
25
×
1
100
) × 70 +
249
10
    The equation is transformed into :
     (
101
100
+
47
25
×
1
100
) × 70 +
249
10
= (
101
100
+
47
25
x ) × 45 + 2490 x
    Remove the bracket on the left of the equation:
     Left side of the equation =
101
100
× 70 +
47
25
×
1
100
× 70 +
249
10
                                             =
707
10
+
329
250
+
249
10
                                             =
24229
250
    The equation is transformed into :
     
24229
250
= (
101
100
+
47
25
x ) × 45 + 2490 x
    Remove the bracket on the right of the equation:
     Right side of the equation =
101
100
× 45 +
47
25
x × 45 + 2490 x
                                               =
909
20
+
423
5
x + 2490 x
                                               =
909
20
+
12873
5
x
    The equation is transformed into :
     
24229
250
=
909
20
+
12873
5
x

    Transposition :
      -
12873
5
x =
909
20
24229
250

    Combine the items on the right of the equation:
      -
12873
5
x = -
25733
500

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
25733
500
=
12873
5
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 :
     
12873
5
x =
25733
500

    The coefficient of the unknown number is reduced to 1 :
      x =
25733
500
÷
12873
5
        =
25733
500
×
5
12873
        =
25733
100
×
1
12873

    We obtained :
      x =
25733
1287300
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 0.01999



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。