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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.
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 0.9(101907-b)/1.09+0.13b/1.13 = 11221.07 .
Question type: Equation
Solution:Original question:
9 10 | ( | 101907 | − | b | ) | ÷ | 109 100 | + | 13 100 | b | ÷ | 113 100 | = | 1122107 100 |
| Left side of the equation = | 90 109 | ( | 101907 | − | b | ) | + | 13 113 | b |
90 109 | ( | 101907 | − | b | ) | + | 13 113 | b | = | 1122107 100 |
| Left side of the equation = | 90 109 | × | 101907 | − | 90 109 | b | + | 13 113 | b |
| = | 9171630 109 | − | 90 109 | b | + | 13 113 | b |
| = | 9171630 109 | − | 8753 12317 | b |
9171630 109 | − | 8753 12317 | b | = | 1122107 100 |
Transposition :
| - | 8753 12317 | b | = | 1122107 100 | − | 9171630 109 |
Combine the items on the right of the equation:
| - | 8753 12317 | b | = | - | 794853337 10900 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
794853337 10900 | = | 8753 12317 | b |
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 :
8753 12317 | b | = | 794853337 10900 |
The coefficient of the unknown number is reduced to 1 :
| b | = | 794853337 10900 | ÷ | 8753 12317 |
| = | 794853337 10900 | × | 12317 8753 |
We obtained :
| b | = | 9790208551829 95407700 |