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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 （393247.15-X）/1.13*0.13+X/1.09*0.09 = 41381.22 .
Question type: Equation
Solution:Original question:
| ( | 7864943 20 | − | X | ) | ÷ | 113 100 | × | 13 100 | + | X | ÷ | 109 100 | × | 9 100 | = | 2069061 50 |
| Left side of the equation = | ( | 7864943 20 | − | X | ) | × | 13 113 | + | X | × | 9 109 |
| ( | 7864943 20 | − | X | ) | × | 13 113 | + | 9 109 | X | = | 2069061 50 |
| Left side of the equation = | 7864943 20 | × | 13 113 | − | X | × | 13 113 | + | 9 109 | X |
| = | 102244259 2260 | − | X | × | 13 113 | + | 9 109 | X |
| = | 102244259 2260 | − | 400 12317 | X |
102244259 2260 | − | 400 12317 | X | = | 2069061 50 |
Transposition :
| - | 400 12317 | X | = | 2069061 50 | − | 102244259 2260 |
Combine the items on the right of the equation:
| - | 400 12317 | X | = | - | 43613509 11300 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
43613509 11300 | = | 400 12317 | 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 :
400 12317 | X | = | 43613509 11300 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 43613509 11300 | ÷ | 400 12317 |
| = | 43613509 11300 | × | 12317 400 |
We obtained :
| X | = | 537187590353 4520000 |