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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 (R-5%)/(6%-5%) = (2700-2723.2)/(2673-2723.2) .
Question type: Equation
Solution:Original question:
| ( | R | − | 5 100 | ) | ÷ | ( | 6 100 | − | 5 100 | ) | = | ( | 2700 | − | 13616 5 | ) | ÷ | ( | 2673 | − | 13616 5 | ) |
| Multiply both sides of the equation by: | ( | 6 100 | − | 5 100 | ) | , | ( | 2673 | − | 13616 5 | ) |
| ( | R | − | 5 100 | ) | ( | 2673 | − | 13616 5 | ) | = | ( | 2700 | − | 13616 5 | ) | ( | 6 100 | − | 5 100 | ) |
| R | ( | 2673 | − | 13616 5 | ) | − | 5 100 | ( | 2673 | − | 13616 5 | ) | = | ( | 2700 | − | 13616 5 | ) | ( | 6 100 | − | 5 100 | ) |
| R | ( | 2673 | − | 13616 5 | ) | − | 5 100 | ( | 2673 | − | 13616 5 | ) | = | 2700 | ( | 6 100 | − | 5 100 | ) | − | 13616 5 | ( | 6 100 | − | 5 100 | ) |
| R | × | 2673 | − | R | × | 13616 5 | − | 5 100 | ( | 2673 | − | 13616 5 | ) | = | 2700 | ( | 6 100 | − | 5 100 | ) | − | 13616 5 | ( | 6 100 | − | 5 100 | ) |
| R | × | 2673 | − | R | × | 13616 5 | − | 5 100 | ( | 2673 | − | 13616 5 | ) | = | 2700 | × | 6 100 | − | 2700 | × | 5 100 | − | 13616 5 | ( | 6 100 | − | 5 100 | ) |
| R | × | 2673 | − | R | × | 13616 5 | − | 5 100 | ( | 2673 | − | 13616 5 | ) | = | 162 | − | 135 | − | 13616 5 | ( | 6 100 | − | 5 100 | ) |
| - | 251 5 | R | − | 5 100 | ( | 2673 | − | 13616 5 | ) | = | 27 | − | 13616 5 | ( | 6 100 | − | 5 100 | ) |
| - | 251 5 | R | − | 5 100 | × | 2673 | + | 5 100 | × | 13616 5 | = | 27 | − | 13616 5 | ( | 6 100 | − | 5 100 | ) |
| - | 251 5 | R | − | 5 100 | × | 2673 | + | 5 100 | × | 13616 5 | = | 27 | − | 13616 5 | × | 6 100 | + | 13616 5 | × | 5 100 |
| - | 251 5 | R | − | 2673 20 | + | 3404 25 | = | 27 | − | 20424 125 | + | 3404 25 |
| - | 251 5 | R | + | 251 100 | = | - | 29 125 |
Transposition :
| - | 251 5 | R | = | - | 29 125 | − | 251 100 |
Combine the items on the right of the equation:
| - | 251 5 | R | = | - | 1371 500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1371 500 | = | 251 5 | R |
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 :
251 5 | R | = | 1371 500 |
The coefficient of the unknown number is reduced to 1 :
| R | = | 1371 500 | ÷ | 251 5 |
| = | 1371 500 | × | 5 251 |
| = | 1371 100 | × | 1 251 |
We obtained :
| R | = | 1371 25100 |
Convert the result to decimal form :
| R | = | 0.054622 |