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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 0.507/((40+8.5X)/(90+15.3X)) = 0.492/((50+6.8X)/(90+15.3X)) .
Question type: Equation
Solution:Original question:
507 1000 | ÷ | ( | ( | 40 | + | 17 2 | X | ) | ÷ | ( | 90 | + | 153 10 | X | ) | ) | = | 123 250 | ÷ | ( | ( | 50 | + | 34 5 | X | ) | ÷ | ( | 90 | + | 153 10 | X | ) | ) |
| Multiply both sides of the equation by: | ( | ( | 40 | + | 17 2 | X | ) | ÷ | ( | 90 | + | 153 10 | X | ) | ) | , | ( | ( | 50 | + | 34 5 | X | ) | ÷ | ( | 90 | + | 153 10 | X | ) | ) |
507 1000 | ( | ( | 50 | + | 34 5 | X | ) | ÷ | ( | 90 | + | 153 10 | X | ) | ) | = | 123 250 | ( | ( | 40 | + | 17 2 | X | ) | ÷ | ( | 90 | + | 153 10 | X | ) | ) |
507 1000 | ( | 50 | + | 34 5 | X | ) | ÷ | ( | 90 | + | 153 10 | X | ) | = | 123 250 | ( | ( | 40 | + | 17 2 | X | ) | ÷ | ( | 90 | + | 153 10 | X | ) | ) |
507 1000 | ( | 50 | + | 34 5 | X | ) | ÷ | ( | 90 | + | 153 10 | X | ) | = | 123 250 | ( | 40 | + | 17 2 | X | ) | ÷ | ( | 90 | + | 153 10 | X | ) |
| Multiply both sides of the equation by: | ( | 90 | + | 153 10 | X | ) |
507 1000 | ( | 50 | + | 34 5 | X | ) | = | 123 250 | ( | 40 | + | 17 2 | X | ) |
507 1000 | × | 50 | + | 507 1000 | × | 34 5 | X | = | 123 250 | ( | 40 | + | 17 2 | X | ) |
507 1000 | × | 50 | + | 507 1000 | × | 34 5 | X | = | 123 250 | × | 40 | + | 123 250 | × | 17 2 | X |
507 20 | + | 8619 2500 | X | = | 492 25 | + | 2091 500 | X |
Transposition :
8619 2500 | X | − | 2091 500 | X | = | 492 25 | − | 507 20 |
Combine the items on the left of the equation:
| - | 459 625 | X | = | 492 25 | − | 507 20 |
Combine the items on the right of the equation:
| - | 459 625 | X | = | - | 567 100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
567 100 | = | 459 625 | X |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
459 625 | X | = | 567 100 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 567 100 | ÷ | 459 625 |
| = | 567 100 | × | 625 459 |
| = | 21 4 | × | 25 17 |
We obtained :
| X | = | 525 68 |
Convert the result to decimal form :
| X | = | 7.720588 |