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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+(1000/126)*(940-X) = 2860 .
Question type: Equation
Solution:Original question:
77 40 | X | + | ( | 1000 | ÷ | 126 | ) | ( | 940 | − | X | ) | = | 2860 |
| Left side of the equation = | 77 40 | X | + | 1000 | ÷ | 126 | × | ( | 940 | − | X | ) |
| = | 77 40 | X | + | 500 63 | ( | 940 | − | X | ) |
| = | 77 40 | X | + | 500 63 | × | 940 | − | 500 63 | X |
| = | 77 40 | X | + | 470000 63 | − | 500 63 | X |
| = | - | 15149 2520 | X | + | 470000 63 |
| - | 15149 2520 | X | + | 470000 63 | = | 2860 |
Transposition :
| - | 15149 2520 | X | = | 2860 | − | 470000 63 |
Combine the items on the right of the equation:
| - | 15149 2520 | X | = | - | 289820 63 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
289820 63 | = | 15149 2520 | 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 :
15149 2520 | X | = | 289820 63 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 289820 63 | ÷ | 15149 2520 |
| = | 289820 63 | × | 2520 15149 |
| = | 289820 | × | 40 15149 |
We obtained :
| X | = | 11592800 15149 |
Convert the result to decimal form :
| X | = | 765.251832 |