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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 X/111-(90-X)/1000-20/1650 = .119 .
Question type: Equation
Solution:Original question:
| X | ÷ | 111 | − | ( | 90 | − | X | ) | ÷ | 1000 | − | 20 | ÷ | 1650 | = | 119 1000 |
| Left side of the equation = | X | × | 1 111 | − | ( | 90 | − | X | ) | × | 1 1000 | − | 2 165 |
1 111 | X | − | ( | 90 | − | X | ) | × | 1 1000 | − | 2 165 | = | 119 1000 |
| Left side of the equation = | 1 111 | X | − | 90 | × | 1 1000 | + | X | × | 1 1000 | − | 2 165 |
| = | 1 111 | X | − | 9 100 | + | X | × | 1 1000 | − | 2 165 |
| = | 1111 111000 | X | − | 337 3300 |
1111 111000 | X | − | 337 3300 | = | 119 1000 |
Transposition :
1111 111000 | X | = | 119 1000 | + | 337 3300 |
Combine the items on the right of the equation:
1111 111000 | X | = | 7297 33000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 7297 33000 | ÷ | 1111 111000 |
| = | 7297 33000 | × | 111000 1111 |
| = | 7297 11 | × | 37 1111 |
We obtained :
| X | = | 269989 12221 |
Convert the result to decimal form :
| X | = | 22.092218 |