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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 47×7.91+13.17x = （47+x）×7.98 .
Question type: Equation
Solution:Original question:
| 47 | × | 791 100 | + | 1317 100 | x | = | ( | 47 | + | x | ) | × | 399 50 |
| Left side of the equation = | 37177 100 | + | 1317 100 | x |
37177 100 | + | 1317 100 | x | = | ( | 47 | + | x | ) | × | 399 50 |
| Right side of the equation = | 47 | × | 399 50 | + | x | × | 399 50 |
| = | 18753 50 | + | x | × | 399 50 |
37177 100 | + | 1317 100 | x | = | 18753 50 | + | 399 50 | x |
Transposition :
1317 100 | x | − | 399 50 | x | = | 18753 50 | − | 37177 100 |
Combine the items on the left of the equation:
519 100 | x | = | 18753 50 | − | 37177 100 |
Combine the items on the right of the equation:
519 100 | x | = | 329 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 329 100 | ÷ | 519 100 |
| = | 329 100 | × | 100 519 |
| = | 329 | × | 1 519 |
We obtained :
| x | = | 329 519 |
Convert the result to decimal form :
| x | = | 0.633911 |