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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）/（232709.53+1242.51X） = 20% .
Question type: Equation
Solution:Original question:
| ( | 1242513 100 | X | − | 1546347 100 | ) | ÷ | ( | 23270953 100 | + | 124251 100 | X | ) | = | 20 100 |
| Multiply both sides of the equation by: | ( | 23270953 100 | + | 124251 100 | X | ) |
| ( | 1242513 100 | X | − | 1546347 100 | ) | = | 20 100 | ( | 23270953 100 | + | 124251 100 | X | ) |
1242513 100 | X | − | 1546347 100 | = | 20 100 | ( | 23270953 100 | + | 124251 100 | X | ) |
1242513 100 | X | − | 1546347 100 | = | 20 100 | × | 23270953 100 | + | 20 100 | × | 124251 100 | X |
1242513 100 | X | − | 1546347 100 | = | 23270953 500 | + | 124251 500 | X |
Transposition :
1242513 100 | X | − | 124251 500 | X | = | 23270953 500 | + | 1546347 100 |
Combine the items on the left of the equation:
3044157 250 | X | = | 23270953 500 | + | 1546347 100 |
Combine the items on the right of the equation:
3044157 250 | X | = | 7750672 125 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 7750672 125 | ÷ | 3044157 250 |
| = | 7750672 125 | × | 250 3044157 |
| = | 7750672 | × | 2 3044157 |
We obtained :
| X | = | 15501344 3044157 |
Convert the result to decimal form :
| X | = | 5.092163 |