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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 (342.9-X)/(X-131.9)*100 = 2.3 .
Question type: Equation
Solution:Original question:
| ( | 3429 10 | − | X | ) | ÷ | ( | X | − | 1319 10 | ) | × | 100 | = | 23 10 |
| Multiply both sides of the equation by: | ( | X | − | 1319 10 | ) |
| ( | 3429 10 | − | X | ) | × | 100 | = | 23 10 | ( | X | − | 1319 10 | ) |
3429 10 | × | 100 | − | X | × | 100 | = | 23 10 | ( | X | − | 1319 10 | ) |
3429 10 | × | 100 | − | X | × | 100 | = | 23 10 | X | − | 23 10 | × | 1319 10 |
| 34290 | − | X | × | 100 | = | 23 10 | X | − | 30337 100 |
Transposition :
| - | 100 | X | − | 23 10 | X | = | - | 30337 100 | − | 34290 |
Combine the items on the left of the equation:
| - | 1023 10 | X | = | - | 30337 100 | − | 34290 |
Combine the items on the right of the equation:
| - | 1023 10 | X | = | - | 3459337 100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
3459337 100 | = | 1023 10 | 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 :
1023 10 | X | = | 3459337 100 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 3459337 100 | ÷ | 1023 10 |
| = | 3459337 100 | × | 10 1023 |
| = | 3459337 10 | × | 1 1023 |
We obtained :
| X | = | 3459337 10230 |
Convert the result to decimal form :
| X | = | 338.156109 |