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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-0.169)/(0.21-0.169)*100 = 42 .
Question type: Equation
Solution:Original question:
| ( | x | − | 169 1000 | ) | ÷ | ( | 21 100 | − | 169 1000 | ) | × | 100 | = | 42 |
| Multiply both sides of the equation by: | ( | 21 100 | − | 169 1000 | ) |
| ( | x | − | 169 1000 | ) | × | 100 | = | 42 | ( | 21 100 | − | 169 1000 | ) |
| x | × | 100 | − | 169 1000 | × | 100 | = | 42 | ( | 21 100 | − | 169 1000 | ) |
| x | × | 100 | − | 169 1000 | × | 100 | = | 42 | × | 21 100 | − | 42 | × | 169 1000 |
| x | × | 100 | − | 169 10 | = | 441 50 | − | 3549 500 |
| 100 | x | − | 169 10 | = | 861 500 |
Transposition :
| 100 | x | = | 861 500 | + | 169 10 |
Combine the items on the right of the equation:
| 100 | x | = | 9311 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 9311 500 | ÷ | 100 |
| = | 9311 500 | × | 1 100 |
We obtained :
| x | = | 9311 50000 |
Convert the result to decimal form :
| x | = | 0.18622 |