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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 （100-X）/133.5-X/500 = 0.428 .
Question type: Equation
Solution:Original question:
| ( | 100 | − | X | ) | ÷ | 267 2 | − | X | ÷ | 500 | = | 107 250 |
| Left side of the equation = | 100 | × | 2 267 | − | X | × | 2 267 | − | 1 500 | X |
| = | 200 267 | − | X | × | 2 267 | − | 1 500 | X |
| = | 200 267 | − | 1267 133500 | X |
200 267 | − | 1267 133500 | X | = | 107 250 |
Transposition :
| - | 1267 133500 | X | = | 107 250 | − | 200 267 |
Combine the items on the right of the equation:
| - | 1267 133500 | X | = | - | 21431 66750 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
21431 66750 | = | 1267 133500 | 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 :
1267 133500 | X | = | 21431 66750 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 21431 66750 | ÷ | 1267 133500 |
| = | 21431 66750 | × | 133500 1267 |
| = | 21431 | × | 2 1267 |
We obtained :
| X | = | 42862 1267 |
Convert the result to decimal form :
| X | = | 33.829519 |