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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 200/135+800/141-X/1000 = 1060+X .
Question type: Equation
Solution:Original question:
| 200 | ÷ | 135 | + | 800 | ÷ | 141 | − | X | ÷ | 1000 | = | 1060 | + | X |
| Left side of the equation = | 40 27 | + | 800 141 | − | X | × | 1 1000 |
| = | 9080 1269 | − | 1 1000 | X |
9080 1269 | − | 1 1000 | X | = | 1060 | + | X |
Transposition :
| - | 1 1000 | X | − | X | = | 1060 | − | 9080 1269 |
Combine the items on the left of the equation:
| - | 1001 1000 | X | = | 1060 | − | 9080 1269 |
Combine the items on the right of the equation:
| - | 1001 1000 | X | = | 1336060 1269 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 1336060 1269 | = | 1001 1000 | 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 :
1001 1000 | X | = | - | 1336060 1269 |
The coefficient of the unknown number is reduced to 1 :
| X | = | - | 1336060 1269 | ÷ | 1001 1000 |
| = | - | 1336060 1269 | × | 1000 1001 |
| = | - | 121460 1269 | × | 1000 91 |
We obtained :
| X | = | - | 121460000 115479 |
Convert the result to decimal form :
| X | = | - 1051.792967 |