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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 （x-5）/（6-5） = （1000-974.7）/（1088.83-947.7） .
Question type: Equation
Solution:Original question:
| ( | x | − | 5 | ) | ÷ | ( | 6 | − | 5 | ) | = | ( | 1000 | − | 9747 10 | ) | ÷ | ( | 108883 100 | − | 9477 10 | ) |
| Multiply both sides of the equation by: | ( | 6 | − | 5 | ) | , | ( | 108883 100 | − | 9477 10 | ) |
| ( | x | − | 5 | ) | ( | 108883 100 | − | 9477 10 | ) | = | ( | 1000 | − | 9747 10 | ) | ( | 6 | − | 5 | ) |
| x | ( | 108883 100 | − | 9477 10 | ) | − | 5 | ( | 108883 100 | − | 9477 10 | ) | = | ( | 1000 | − | 9747 10 | ) | ( | 6 | − | 5 | ) |
| x | ( | 108883 100 | − | 9477 10 | ) | − | 5 | ( | 108883 100 | − | 9477 10 | ) | = | 1000 | ( | 6 | − | 5 | ) | − | 9747 10 | ( | 6 | − | 5 | ) |
| x | × | 108883 100 | − | x | × | 9477 10 | − | 5 | ( | 108883 100 | − | 9477 10 | ) | = | 1000 | ( | 6 | − | 5 | ) | − | 9747 10 | ( | 6 | − | 5 | ) |
| x | × | 108883 100 | − | x | × | 9477 10 | − | 5 | ( | 108883 100 | − | 9477 10 | ) | = | 1000 | × | 6 | − | 1000 | × | 5 | − | 9747 10 | ( | 6 | − | 5 | ) |
| x | × | 108883 100 | − | x | × | 9477 10 | − | 5 | ( | 108883 100 | − | 9477 10 | ) | = | 6000 | − | 5000 | − | 9747 10 | ( | 6 | − | 5 | ) |
14113 100 | x | − | 5 | ( | 108883 100 | − | 9477 10 | ) | = | 1000 | − | 9747 10 | ( | 6 | − | 5 | ) |
14113 100 | x | − | 5 | × | 108883 100 | + | 5 | × | 9477 10 | = | 1000 | − | 9747 10 | ( | 6 | − | 5 | ) |
14113 100 | x | − | 5 | × | 108883 100 | + | 5 | × | 9477 10 | = | 1000 | − | 9747 10 | × | 6 | + | 9747 10 | × | 5 |
14113 100 | x | − | 108883 20 | + | 9477 2 | = | 1000 | − | 29241 5 | + | 9747 2 |
14113 100 | x | − | 14113 20 | = | 253 10 |
Transposition :
14113 100 | x | = | 253 10 | + | 14113 20 |
Combine the items on the right of the equation:
14113 100 | x | = | 14619 20 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 14619 20 | ÷ | 14113 100 |
| = | 14619 20 | × | 100 14113 |
| = | 1329 | × | 5 1283 |
We obtained :
| x | = | 6645 1283 |
Convert the result to decimal form :
| x | = | 5.179267 |