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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 (7-x)/(7-6) = -0.0998/-0.1122 .
Question type: Equation
Solution:Original question:
| ( | 7 | − | x | ) | ÷ | ( | 7 | − | 6 | ) | = | - | 499 5000 | − | 561 5000 |
| Multiply both sides of the equation by: | ( | 7 | − | 6 | ) |
| ( | 7 | − | x | ) | = | - | 499 5000 | ( | 7 | − | 6 | ) | − | 561 5000 | ( | 7 | − | 6 | ) |
| 7 | − | x | = | - | 499 5000 | ( | 7 | − | 6 | ) | − | 561 5000 | ( | 7 | − | 6 | ) |
| 7 | − | x | = | - | 499 5000 | × | 7 | + | 499 5000 | × | 6 | − | 561 5000 | ( | 7 | − | 6 | ) |
| 7 | − | x | = | - | 3493 5000 | + | 1497 2500 | − | 561 5000 | ( | 7 | − | 6 | ) |
| 7 | − | x | = | - | 499 5000 | − | 561 5000 | ( | 7 | − | 6 | ) |
| 7 | − | x | = | - | 499 5000 | − | 561 5000 | × | 7 | + | 561 5000 | × | 6 |
| 7 | − | x | = | - | 499 5000 | − | 3927 5000 | + | 1683 2500 |
| 7 | − | x | = | - | 53 250 |
Transposition :
| - | x | = | - | 53 250 | − | 7 |
Combine the items on the right of the equation:
| - | x | = | - | 1803 250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1803 250 | = | x |
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 :
| x | = | 1803 250 |
This is the solution of the equation.