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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 （12425.13X-15463.47）/（239070.72+1242.51X） = 20% .
Question type: Equation
Solution:Original question:
| ( | 1242513 100 | X | − | 1546347 100 | ) | ÷ | ( | 5976768 25 | + | 124251 100 | X | ) | = | 20 100 |
| Multiply both sides of the equation by: | ( | 5976768 25 | + | 124251 100 | X | ) |
| ( | 1242513 100 | X | − | 1546347 100 | ) | = | 20 100 | ( | 5976768 25 | + | 124251 100 | X | ) |
1242513 100 | X | − | 1546347 100 | = | 20 100 | ( | 5976768 25 | + | 124251 100 | X | ) |
1242513 100 | X | − | 1546347 100 | = | 20 100 | × | 5976768 25 | + | 20 100 | × | 124251 100 | X |
1242513 100 | X | − | 1546347 100 | = | 5976768 125 | + | 124251 500 | X |
Transposition :
1242513 100 | X | − | 124251 500 | X | = | 5976768 125 | + | 1546347 100 |
Combine the items on the left of the equation:
3044157 250 | X | = | 5976768 125 | + | 1546347 100 |
Combine the items on the right of the equation:
3044157 250 | X | = | 31638807 500 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 31638807 500 | ÷ | 3044157 250 |
| = | 31638807 500 | × | 250 3044157 |
| = | 10546269 2 | × | 1 1014719 |
We obtained :
| X | = | 10546269 2029438 |
Convert the result to decimal form :
| X | = | 5.196645 |