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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/0.13+(468.921-X)/0.09 = 4103.079 .
Question type: Equation
Solution:Original question:
| X | ÷ | 13 100 | + | ( | 468921 1000 | − | X | ) | ÷ | 9 100 | = | 4103079 1000 |
| Left side of the equation = | 100 13 | X | + | 468921 1000 | × | 100 9 | − | X | × | 100 9 |
| = | 100 13 | X | + | 156307 30 | − | X | × | 100 9 |
| = | - | 400 117 | X | + | 156307 30 |
| - | 400 117 | X | + | 156307 30 | = | 4103079 1000 |
Transposition :
| - | 400 117 | X | = | 4103079 1000 | − | 156307 30 |
Combine the items on the right of the equation:
| - | 400 117 | X | = | - | 3321463 3000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
3321463 3000 | = | 400 117 | 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 :
400 117 | X | = | 3321463 3000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 3321463 3000 | ÷ | 400 117 |
| = | 3321463 3000 | × | 117 400 |
| = | 3321463 1000 | × | 39 400 |
We obtained :
| X | = | 129537057 400000 |
Convert the result to decimal form :
| X | = | 323.842643 |