Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
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 (100-97)/(100-92.28) = (r-4%)/(5%-4%) .
Question type: Equation
Solution:Original question:
| ( | 100 | − | 97 | ) | ÷ | ( | 100 | − | 2307 25 | ) | = | ( | r | − | 4 100 | ) | ÷ | ( | 5 100 | − | 4 100 | ) |
| Multiply both sides of the equation by: | ( | 100 | − | 2307 25 | ) | , | ( | 5 100 | − | 4 100 | ) |
| ( | 100 | − | 97 | ) | ( | 5 100 | − | 4 100 | ) | = | ( | r | − | 4 100 | ) | ( | 100 | − | 2307 25 | ) |
| 100 | ( | 5 100 | − | 4 100 | ) | − | 97 | ( | 5 100 | − | 4 100 | ) | = | ( | r | − | 4 100 | ) | ( | 100 | − | 2307 25 | ) |
| 100 | ( | 5 100 | − | 4 100 | ) | − | 97 | ( | 5 100 | − | 4 100 | ) | = | r | ( | 100 | − | 2307 25 | ) | − | 4 100 | ( | 100 | − | 2307 25 | ) |
| 100 | × | 5 100 | − | 100 | × | 4 100 | − | 97 | ( | 5 100 | − | 4 100 | ) | = | r | ( | 100 | − | 2307 25 | ) | − | 4 100 | ( | 100 | − | 2307 25 | ) |
| 100 | × | 5 100 | − | 100 | × | 4 100 | − | 97 | ( | 5 100 | − | 4 100 | ) | = | r | × | 100 | − | r | × | 2307 25 | − | 4 100 | ( | 100 | − | 2307 25 | ) |
| 5 | − | 4 | − | 97 | ( | 5 100 | − | 4 100 | ) | = | r | × | 100 | − | r | × | 2307 25 | − | 4 100 | ( | 100 | − | 2307 25 | ) |
| 1 | − | 97 | ( | 5 100 | − | 4 100 | ) | = | 193 25 | r | − | 4 100 | ( | 100 | − | 2307 25 | ) |
| 1 | − | 97 | × | 5 100 | + | 97 | × | 4 100 | = | 193 25 | r | − | 4 100 | ( | 100 | − | 2307 25 | ) |
| 1 | − | 97 | × | 5 100 | + | 97 | × | 4 100 | = | 193 25 | r | − | 4 100 | × | 100 | + | 4 100 | × | 2307 25 |
| 1 | − | 97 20 | + | 97 25 | = | 193 25 | r | − | 4 | + | 2307 625 |
3 100 | = | 193 25 | r | − | 193 625 |
Transposition :
| - | 193 25 | r | = | - | 193 625 | − | 3 100 |
Combine the items on the right of the equation:
| - | 193 25 | r | = | - | 847 2500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
847 2500 | = | 193 25 | 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 :
193 25 | r | = | 847 2500 |
The coefficient of the unknown number is reduced to 1 :
| r | = | 847 2500 | ÷ | 193 25 |
| = | 847 2500 | × | 25 193 |
| = | 847 100 | × | 1 193 |
We obtained :
| r | = | 847 19300 |
Convert the result to decimal form :
| r | = | 0.043886 |