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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 (8950+20+X)*3.1% = 4X .
Question type: Equation
Solution:Original question:
| ( | 8950 | + | 20 | + | X | ) | × | 31 1000 | = | 4 | X |
| Left side of the equation = | 8950 | × | 31 1000 | + | 20 | × | 31 1000 | + | X | × | 31 1000 |
| = | 5549 20 | + | 31 50 | + | X | × | 31 1000 |
| = | 27807 100 | + | 31 1000 | X |
27807 100 | + | 31 1000 | X | = | 4 | X |
Transposition :
31 1000 | X | − | 4 | X | = | - | 27807 100 |
Combine the items on the left of the equation:
| - | 3969 1000 | X | = | - | 27807 100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
27807 100 | = | 3969 1000 | 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 :
3969 1000 | X | = | 27807 100 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 27807 100 | ÷ | 3969 1000 |
| = | 27807 100 | × | 1000 3969 |
| = | 9269 | × | 10 1323 |
We obtained :
| X | = | 92690 1323 |
Convert the result to decimal form :
| X | = | 70.060469 |