Mathematics
         
语言：中文    Language:English
                                Equations   
Fold
                                Unary equation
                                Multivariate equation
                                Math OP  
Unfold
                                Linear algebra      
Unfold
                                Derivative function
                                Function image
                                Hot issues
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 （0.994-0.769）*100+（0.994-x）*200+（0.818-0.799）*300+（0.819-0.799）*300+0.1+0.1+0.2+0.2 = （0.994-0.769）*300+0.1 .
    Question type: Equation
    Solution:Original question:
     (
497
500
 −
769
1000
) × 100 + (
497
500
 − x ) × 200 + (
409
500
 −
799
1000
) × 300 + (
819
1000
 −
799
1000
) × 300 +
1
10
 +
1
10
 +
1
5
 +
1
5
 = (
497
500
 −
769
1000
) × 300 +
1
10
     Left side of the equation = (
497
500
 −
769
1000
) × 100 + (
497
500
 − x ) × 200 + (
409
500
 −
799
1000
) × 300 + (
819
1000
 −
799
1000
) × 300 +
3
5
    The equation is transformed into :
     (
497
500
 −
769
1000
) × 100 + (
497
500
 − x ) × 200 + (
409
500
 −
799
1000
) × 300 + (
819
1000
 −
799
1000
) × 300 +
3
5
 = (
497
500
 −
769
1000
) × 300 +
1
10
    Remove the bracket on the left of the equation:
     Left side of the equation =
497
500
 × 100 −
769
1000
 × 100 + (
497
500
 − x ) × 200 + (
409
500
 −
799
1000
) × 300 + (
819
1000
 −
799
1000
) × 300 +
3
5
                                             =
497
5
 −
769
10
 + (
497
500
 − x ) × 200 + (
409
500
 −
799
1000
) × 300 + (
819
1000
 −
799
1000
) × 300 +
3
5
                                             =
231
10
 + (
497
500
 − x ) × 200 + (
409
500
 −
799
1000
) × 300 + (
819
1000
 −
799
1000
) × 300
                                             =
231
10
 +
497
500
 × 200 − x × 200 + (
409
500
 −
799
1000
) × 300 + (
819
1000
 −
799
1000
) × 300
                                             =
231
10
 +
994
5
 − x × 200 + (
409
500
 −
799
1000
) × 300 + (
819
1000
 −
799
1000
) × 300
                                             =
2219
10
 − 200 x + (
409
500
 −
799
1000
) × 300 + (
819
1000
 −
799
1000
) × 300
                                             =
2219
10
 − 200 x +
409
500
 × 300 −
799
1000
 × 300 + (
819
1000
 −
799
1000
) × 300
                                             =
2219
10
 − 200 x +
1227
5
 −
2397
10
 + (
819
1000
 −
799
1000
) × 300
                                             =
1138
5
 − 200 x + (
819
1000
 −
799
1000
) × 300
                                             =
1138
5
 − 200 x +
819
1000
 × 300 −
799
1000
 × 300
                                             =
1138
5
 − 200 x +
2457
10
 −
2397
10
                                             =
1168
5
 − 200 x
    The equation is transformed into :
     
1168
5
 − 200 x = (
497
500
 −
769
1000
) × 300 +
1
10
    Remove the bracket on the right of the equation:
     Right side of the equation =
497
500
 × 300 −
769
1000
 × 300 +
1
10
                                               =
1491
5
 −
2307
10
 +
1
10
                                               =
338
5
    The equation is transformed into :
     
1168
5
 − 200 x =
338
5

    Transposition :
      - 200 x =
338
5
 −
1168
5

    Combine the items on the right of the equation:
      - 200 x = - 166

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     166 = 200 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 :
     200 x = 166

    The coefficient of the unknown number is reduced to 1 :
      x = 166 ÷ 200
        = 166 ×
1
200
        = 83 ×
1
100

    We obtained :
      x =
83
100
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 0.83



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


Return



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