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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 360-x/396-x = 610/1235 .
Question type: Equation
Solution:Original question:
| 360 | − | x | ÷ | 396 | − | x | = | 610 | ÷ | 1235 |
| Left side of the equation = | 360 | − | 397 396 | x |
| 360 | − | 397 396 | x | = | 610 | ÷ | 1235 |
| Right side of the equation = | 122 247 |
| 360 | − | 397 396 | x | = | 122 247 |
Transposition :
| - | 397 396 | x | = | 122 247 | − | 360 |
Combine the items on the right of the equation:
| - | 397 396 | x | = | - | 88798 247 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
88798 247 | = | 397 396 | 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 :
397 396 | x | = | 88798 247 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 88798 247 | ÷ | 397 396 |
| = | 88798 247 | × | 396 397 |
We obtained :
| x | = | 35164008 98059 |
Convert the result to decimal form :
| x | = | 358.600516 |