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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/126+(22-X)/111-.058 = 0.119 .
Question type: Equation
Solution:Original question:
| X | ÷ | 126 | + | ( | 22 | − | X | ) | ÷ | 111 | − | 29 500 | = | 119 1000 |
| Left side of the equation = | 1 126 | X | + | 22 | × | 1 111 | − | X | × | 1 111 | − | 29 500 |
| = | 1 126 | X | + | 22 111 | − | X | × | 1 111 | − | 29 500 |
| = | - | 5 4662 | X | + | 7781 55500 |
| - | 5 4662 | X | + | 7781 55500 | = | 119 1000 |
Transposition :
| - | 5 4662 | X | = | 119 1000 | − | 7781 55500 |
Combine the items on the right of the equation:
| - | 5 4662 | X | = | - | 2353 111000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2353 111000 | = | 5 4662 | 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 :
5 4662 | X | = | 2353 111000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 2353 111000 | ÷ | 5 4662 |
| = | 2353 111000 | × | 4662 5 |
| = | 2353 18500 | × | 777 5 |
We obtained :
| X | = | 1828281 92500 |
By reducing fraction, we can get:
| X | = | 49413 2500 |
Convert the result to decimal form :
| X | = | 19.7652 |