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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 （19%-x）/（20%-19%） = （0.08-0）/（-0.28-0.08） .
Question type: Equation
Solution:Original question:
| ( | 19 100 | − | x | ) | ÷ | ( | 20 100 | − | 19 100 | ) | = | ( | 2 25 | − | 0 | ) | ÷ | ( | - | 7 25 | − | 2 25 | ) |
| Multiply both sides of the equation by: | ( | 20 100 | − | 19 100 | ) | , | ( | - | 7 25 | − | 2 25 | ) |
| ( | 19 100 | − | x | ) | ( | - | 7 25 | − | 2 25 | ) | = | ( | 2 25 | − | 0 | ) | ( | 20 100 | − | 19 100 | ) |
19 100 | ( | - | 7 25 | − | 2 25 | ) | − | x | ( | - | 7 25 | − | 2 25 | ) | = | ( | 2 25 | − | 0 | ) | ( | 20 100 | − | 19 100 | ) |
19 100 | ( | - | 7 25 | − | 2 25 | ) | − | x | ( | - | 7 25 | − | 2 25 | ) | = | 2 25 | ( | 20 100 | − | 19 100 | ) | − | 0 | ( | 20 100 | − | 19 100 | ) |
| - | 19 100 | × | 7 25 | − | 19 100 | × | 2 25 | − | x | ( | - | 7 25 | − | 2 25 | ) | = | 2 25 | ( | 20 100 | − | 19 100 | ) | − | 0 | ( | 20 100 | − | 19 100 | ) |
| - | 19 100 | × | 7 25 | − | 19 100 | × | 2 25 | − | x | ( | - | 7 25 | − | 2 25 | ) | = | 2 25 | × | 20 100 | − | 2 25 | × | 19 100 | − | 0 | ( | 20 100 | − | 19 100 | ) |
| - | 133 2500 | − | 19 1250 | − | x | ( | - | 7 25 | − | 2 25 | ) | = | 2 125 | − | 19 1250 | − | 0 | ( | 20 100 | − | 19 100 | ) |
| - | 171 2500 | − | x | ( | - | 7 25 | − | 2 25 | ) | = | 1 1250 | − | 0 | ( | 20 100 | − | 19 100 | ) |
| - | 171 2500 | + | x | × | 7 25 | + | x | × | 2 25 | = | 1 1250 |
| - | 171 2500 | + | 9 25 | x | = | 1 1250 |
Transposition :
9 25 | x | = | 1 1250 | + | 171 2500 |
Combine the items on the right of the equation:
9 25 | x | = | 173 2500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 173 2500 | ÷ | 9 25 |
| = | 173 2500 | × | 25 9 |
| = | 173 100 | × | 1 9 |
We obtained :
| x | = | 173 900 |
Convert the result to decimal form :
| x | = | 0.192222 |