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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 (0.175x+0.0882(1-x))/(0.0035x+0.014(1-x)) = 25 .
Question type: Equation
Solution:Original question:
| ( | 7 40 | x | + | 441 5000 | ( | 1 | − | x | ) | ) | ÷ | ( | 7 2000 | x | + | 7 500 | ( | 1 | − | x | ) | ) | = | 25 |
| Multiply both sides of the equation by: | ( | 7 2000 | x | + | 7 500 | ( | 1 | − | x | ) | ) |
| ( | 7 40 | x | + | 441 5000 | ( | 1 | − | x | ) | ) | = | 25 | ( | 7 2000 | x | + | 7 500 | ( | 1 | − | x | ) | ) |
7 40 | x | + | 441 5000 | ( | 1 | − | x | ) | = | 25 | ( | 7 2000 | x | + | 7 500 | ( | 1 | − | x | ) | ) |
7 40 | x | + | 441 5000 | ( | 1 | − | x | ) | = | 25 | × | 7 2000 | x | + | 25 | × | 7 500 | ( | 1 | − | x | ) |
7 40 | x | + | 441 5000 | ( | 1 | − | x | ) | = | 7 80 | x | + | 7 20 | ( | 1 | − | x | ) |
7 40 | x | + | 441 5000 | × | 1 | − | 441 5000 | x | = | 7 80 | x | + | 7 20 | ( | 1 | − | x | ) |
7 40 | x | + | 441 5000 | × | 1 | − | 441 5000 | x | = | 7 80 | x | + | 7 20 | × | 1 | − | 7 20 | x |
7 40 | x | + | 441 5000 | − | 441 5000 | x | = | 7 80 | x | + | 7 20 | − | 7 20 | x |
217 2500 | x | + | 441 5000 | = | - | 21 80 | x | + | 7 20 |
Transposition :
217 2500 | x | + | 21 80 | x | = | 7 20 | − | 441 5000 |
Combine the items on the left of the equation:
3493 10000 | x | = | 7 20 | − | 441 5000 |
Combine the items on the right of the equation:
3493 10000 | x | = | 1309 5000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1309 5000 | ÷ | 3493 10000 |
| = | 1309 5000 | × | 10000 3493 |
| = | 187 | × | 2 499 |
We obtained :
| x | = | 374 499 |
Convert the result to decimal form :
| x | = | 0.749499 |