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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 1.925X+(1000/135)*(940-X) = 2860 .
Question type: Equation
Solution:Original question:
77 40 | X | + | ( | 1000 | ÷ | 135 | ) | ( | 940 | − | X | ) | = | 2860 |
| Left side of the equation = | 77 40 | X | + | 1000 | ÷ | 135 | × | ( | 940 | − | X | ) |
| = | 77 40 | X | + | 200 27 | ( | 940 | − | X | ) |
| = | 77 40 | X | + | 200 27 | × | 940 | − | 200 27 | X |
| = | 77 40 | X | + | 188000 27 | − | 200 27 | X |
| = | - | 5921 1080 | X | + | 188000 27 |
| - | 5921 1080 | X | + | 188000 27 | = | 2860 |
Transposition :
| - | 5921 1080 | X | = | 2860 | − | 188000 27 |
Combine the items on the right of the equation:
| - | 5921 1080 | X | = | - | 110780 27 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
110780 27 | = | 5921 1080 | 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 :
5921 1080 | X | = | 110780 27 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 110780 27 | ÷ | 5921 1080 |
| = | 110780 27 | × | 1080 5921 |
| = | 110780 | × | 40 5921 |
We obtained :
| X | = | 4431200 5921 |
Convert the result to decimal form :
| X | = | 748.387097 |