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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 11000-P = (15000-P)*0.3571/1.05 .
Question type: Equation
Solution:Original question:
| 11000 | − | P | = | ( | 15000 | − | P | ) | × | 3571 10000 | ÷ | 21 20 |
| Right side of the equation = | ( | 15000 | − | P | ) | × | 3571 10500 |
| 11000 | − | P | = | ( | 15000 | − | P | ) | × | 3571 10500 |
| Right side of the equation = | 15000 | × | 3571 10500 | − | P | × | 3571 10500 |
| = | 35710 7 | − | P | × | 3571 10500 |
| 11000 | − | P | = | 35710 7 | − | 3571 10500 | P |
Transposition :
| - | P | + | 3571 10500 | P | = | 35710 7 | − | 11000 |
Combine the items on the left of the equation:
| - | 6929 10500 | P | = | 35710 7 | − | 11000 |
Combine the items on the right of the equation:
| - | 6929 10500 | P | = | - | 41290 7 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
41290 7 | = | 6929 10500 | P |
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 :
6929 10500 | P | = | 41290 7 |
The coefficient of the unknown number is reduced to 1 :
| P | = | 41290 7 | ÷ | 6929 10500 |
| = | 41290 7 | × | 10500 6929 |
| = | 41290 | × | 1500 6929 |
We obtained :
| P | = | 61935000 6929 |
Convert the result to decimal form :
| P | = | 8938.519267 |