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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 160.6×7.93+12.09x = （160.6+x）×7.97 .
Question type: Equation
Solution:Original question:
803 5 | × | 793 100 | + | 1209 100 | x | = | ( | 803 5 | + | x | ) | × | 797 100 |
| Left side of the equation = | 636779 500 | + | 1209 100 | x |
636779 500 | + | 1209 100 | x | = | ( | 803 5 | + | x | ) | × | 797 100 |
| Right side of the equation = | 803 5 | × | 797 100 | + | x | × | 797 100 |
| = | 639991 500 | + | x | × | 797 100 |
636779 500 | + | 1209 100 | x | = | 639991 500 | + | 797 100 | x |
Transposition :
1209 100 | x | − | 797 100 | x | = | 639991 500 | − | 636779 500 |
Combine the items on the left of the equation:
103 25 | x | = | 639991 500 | − | 636779 500 |
Combine the items on the right of the equation:
103 25 | x | = | 803 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 803 125 | ÷ | 103 25 |
| = | 803 125 | × | 25 103 |
| = | 803 5 | × | 1 103 |
We obtained :
| x | = | 803 515 |
Convert the result to decimal form :
| x | = | 1.559223 |