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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 (230+x)*49.9 = 230*51+20x .
Question type: Equation
Solution:Original question:
| ( | 230 | + | x | ) | × | 499 10 | = | 230 | × | 51 | + | 20 | x |
| Left side of the equation = | 230 | × | 499 10 | + | x | × | 499 10 |
| = | 11477 | + | x | × | 499 10 |
| 11477 | + | 499 10 | x | = | 230 | × | 51 | + | 20 | x |
| Right side of the equation = | 11730 | + | 20 | x |
| 11477 | + | 499 10 | x | = | 11730 | + | 20 | x |
Transposition :
499 10 | x | − | 20 | x | = | 11730 | − | 11477 |
Combine the items on the left of the equation:
299 10 | x | = | 11730 | − | 11477 |
Combine the items on the right of the equation:
299 10 | x | = | 253 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 253 | ÷ | 299 10 |
| = | 253 | × | 10 299 |
We obtained :
| x | = | 2530 299 |
By reducing fraction, we can get:
| x | = | 110 13 |
Convert the result to decimal form :
| x | = | 8.461538 |