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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）×7.97 .
Question type: Equation
Solution:Original question:
| 47 | × | 791 100 | + | 1317 100 | x | = | ( | 47 | + | x | ) | × | 797 100 |
| Left side of the equation = | 37177 100 | + | 1317 100 | x |
37177 100 | + | 1317 100 | x | = | ( | 47 | + | x | ) | × | 797 100 |
| Right side of the equation = | 47 | × | 797 100 | + | x | × | 797 100 |
| = | 37459 100 | + | x | × | 797 100 |
37177 100 | + | 1317 100 | x | = | 37459 100 | + | 797 100 | x |
Transposition :
1317 100 | x | − | 797 100 | x | = | 37459 100 | − | 37177 100 |
Combine the items on the left of the equation:
26 5 | x | = | 37459 100 | − | 37177 100 |
Combine the items on the right of the equation:
26 5 | x | = | 141 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 141 50 | ÷ | 26 5 |
| = | 141 50 | × | 5 26 |
| = | 141 10 | × | 1 26 |
We obtained :
| x | = | 141 260 |
Convert the result to decimal form :
| x | = | 0.542308 |