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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 （x-0.163）/（0.194-0.163）*100 = 50 .
Question type: Equation
Solution:Original question:
| ( | x | − | 163 1000 | ) | ÷ | ( | 97 500 | − | 163 1000 | ) | × | 100 | = | 50 |
| Multiply both sides of the equation by: | ( | 97 500 | − | 163 1000 | ) |
| ( | x | − | 163 1000 | ) | × | 100 | = | 50 | ( | 97 500 | − | 163 1000 | ) |
| x | × | 100 | − | 163 1000 | × | 100 | = | 50 | ( | 97 500 | − | 163 1000 | ) |
| x | × | 100 | − | 163 1000 | × | 100 | = | 50 | × | 97 500 | − | 50 | × | 163 1000 |
| x | × | 100 | − | 163 10 | = | 97 10 | − | 163 20 |
| 100 | x | − | 163 10 | = | 31 20 |
Transposition :
| 100 | x | = | 31 20 | + | 163 10 |
Combine the items on the right of the equation:
| 100 | x | = | 357 20 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 357 20 | ÷ | 100 |
| = | 357 20 | × | 1 100 |
We obtained :
| x | = | 357 2000 |
Convert the result to decimal form :
| x | = | 0.1785 |