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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 （16.61-12.38）/（84.1-85.3） = （14.36-12.38）/（x-85.3 ) .
Question type: Equation
Solution:Original question:
| ( | 1661 100 | − | 619 50 | ) | ÷ | ( | 841 10 | − | 853 10 | ) | = | ( | 359 25 | − | 619 50 | ) | ÷ | ( | x | − | 853 10 | ) |
| Multiply both sides of the equation by: | ( | 841 10 | − | 853 10 | ) | , | ( | x | − | 853 10 | ) |
| ( | 1661 100 | − | 619 50 | ) | ( | x | − | 853 10 | ) | = | ( | 359 25 | − | 619 50 | ) | ( | 841 10 | − | 853 10 | ) |
1661 100 | ( | x | − | 853 10 | ) | − | 619 50 | ( | x | − | 853 10 | ) | = | ( | 359 25 | − | 619 50 | ) | ( | 841 10 | − | 853 10 | ) |
1661 100 | ( | x | − | 853 10 | ) | − | 619 50 | ( | x | − | 853 10 | ) | = | 359 25 | ( | 841 10 | − | 853 10 | ) | − | 619 50 | ( | 841 10 | − | 853 10 | ) |
1661 100 | x | − | 1661 100 | × | 853 10 | − | 619 50 | ( | x | − | 853 10 | ) | = | 359 25 | ( | 841 10 | − | 853 10 | ) | − | 619 50 | ( | 841 10 | − | 853 10 | ) |
1661 100 | x | − | 1661 100 | × | 853 10 | − | 619 50 | ( | x | − | 853 10 | ) | = | 359 25 | × | 841 10 | − | 359 25 | × | 853 10 | − | 619 50 | ( | 841 10 | − | 853 10 | ) |
1661 100 | x | − | 1416833 1000 | − | 619 50 | ( | x | − | 853 10 | ) | = | 301919 250 | − | 306227 250 | − | 619 50 | ( | 841 10 | − | 853 10 | ) |
1661 100 | x | − | 1416833 1000 | − | 619 50 | ( | x | − | 853 10 | ) | = | - | 2154 125 | − | 619 50 | ( | 841 10 | − | 853 10 | ) |
1661 100 | x | − | 1416833 1000 | − | 619 50 | x | + | 619 50 | × | 853 10 | = | - | 2154 125 | − | 619 50 | ( | 841 10 | − | 853 10 | ) |
1661 100 | x | − | 1416833 1000 | − | 619 50 | x | + | 619 50 | × | 853 10 | = | - | 2154 125 | − | 619 50 | × | 841 10 | + | 619 50 | × | 853 10 |
1661 100 | x | − | 1416833 1000 | − | 619 50 | x | + | 528007 500 | = | - | 2154 125 | − | 520579 500 | + | 528007 500 |
423 100 | x | − | 360819 1000 | = | - | 297 125 |
Transposition :
423 100 | x | = | - | 297 125 | + | 360819 1000 |
Combine the items on the right of the equation:
423 100 | x | = | 358443 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 358443 1000 | ÷ | 423 100 |
| = | 358443 1000 | × | 100 423 |
| = | 39827 10 | × | 1 47 |
We obtained :
| x | = | 39827 470 |
Convert the result to decimal form :
| x | = | 84.738298 |