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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 142.857*(x+60)+7.143*x = 40000 .
Question type: Equation
Solution:Original question:
142857 1000 | ( | x | + | 60 | ) | + | 7143 1000 | x | = | 40000 |
| Left side of the equation = | 142857 1000 | x | + | 142857 1000 | × | 60 | + | 7143 1000 | x |
| = | 142857 1000 | x | + | 428571 50 | + | 7143 1000 | x |
| = | 150 | x | + | 428571 50 |
| 150 | x | + | 428571 50 | = | 40000 |
Transposition :
| 150 | x | = | 40000 | − | 428571 50 |
Combine the items on the right of the equation:
| 150 | x | = | 1571429 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1571429 50 | ÷ | 150 |
| = | 1571429 50 | × | 1 150 |
We obtained :
| x | = | 1571429 7500 |
Convert the result to decimal form :
| x | = | 209.523867 |