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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 v = 3231.08+1.3v/（1+13%） .
Question type: Equation
Solution:Original question:
| v | = | 80777 25 | + | 13 10 | v | ÷ | ( | 1 | + | 13 100 | ) |
| Multiply both sides of the equation by: | ( | 1 | + | 13 100 | ) |
| v | ( | 1 | + | 13 100 | ) | = | 80777 25 | ( | 1 | + | 13 100 | ) | + | 13 10 | v |
| v | × | 1 | + | v | × | 13 100 | = | 80777 25 | ( | 1 | + | 13 100 | ) | + | 13 10 | v |
| v | × | 1 | + | v | × | 13 100 | = | 80777 25 | × | 1 | + | 80777 25 | × | 13 100 | + | 13 10 | v |
| v | × | 1 | + | v | × | 13 100 | = | 80777 25 | + | 1050101 2500 | + | 13 10 | v |
113 100 | v | = | 9127801 2500 | + | 13 10 | v |
Transposition :
113 100 | v | − | 13 10 | v | = | 9127801 2500 |
Combine the items on the left of the equation:
| - | 17 100 | v | = | 9127801 2500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 9127801 2500 | = | 17 100 | v |
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 :
17 100 | v | = | - | 9127801 2500 |
The coefficient of the unknown number is reduced to 1 :
| v | = | - | 9127801 2500 | ÷ | 17 100 |
| = | - | 9127801 2500 | × | 100 17 |
| = | - | 9127801 25 | × | 1 17 |
We obtained :
| v | = | - | 9127801 425 |
Convert the result to decimal form :
| v | = | - 21477.178824 |