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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 1/101*X+13/113*(23135.14-X） = 2685.13 .
Question type: Equation
Solution:Original question:
| 1 | ÷ | 101 | × | X | + | 13 | ÷ | 113 | × | ( | 1156757 50 | − | X | ) | = | 268513 100 |
| Left side of the equation = | 1 101 | X | + | 13 113 | ( | 1156757 50 | − | X | ) |
1 101 | X | + | 13 113 | ( | 1156757 50 | − | X | ) | = | 268513 100 |
| Left side of the equation = | 1 101 | X | + | 13 113 | × | 1156757 50 | − | 13 113 | X |
| = | 1 101 | X | + | 15037841 5650 | − | 13 113 | X |
| = | - | 1200 11413 | X | + | 15037841 5650 |
| - | 1200 11413 | X | + | 15037841 5650 | = | 268513 100 |
Transposition :
| - | 1200 11413 | X | = | 268513 100 | − | 15037841 5650 |
Combine the items on the right of the equation:
| - | 1200 11413 | X | = | 266287 11300 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 266287 11300 | = | 1200 11413 | 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 :
1200 11413 | X | = | - | 266287 11300 |
The coefficient of the unknown number is reduced to 1 :
| X | = | - | 266287 11300 | ÷ | 1200 11413 |
| = | - | 266287 11300 | × | 11413 1200 |
We obtained :
| X | = | - | 3039133531 13560000 |
By reducing fraction, we can get:
| X | = | - | 26894987 120000 |
Convert the result to decimal form :
| X | = | - 224.124892 |