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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 （31.17-30）/（40-31.17） = （a-995.7）/（992.22-a） .
Question type: Equation
Solution:Original question:
| ( | 3117 100 | − | 30 | ) | ÷ | ( | 40 | − | 3117 100 | ) | = | ( | a | − | 9957 10 | ) | ÷ | ( | 49611 50 | − | a | ) |
| Multiply both sides of the equation by: | ( | 40 | − | 3117 100 | ) | , | ( | 49611 50 | − | a | ) |
| ( | 3117 100 | − | 30 | ) | ( | 49611 50 | − | a | ) | = | ( | a | − | 9957 10 | ) | ( | 40 | − | 3117 100 | ) |
3117 100 | ( | 49611 50 | − | a | ) | − | 30 | ( | 49611 50 | − | a | ) | = | ( | a | − | 9957 10 | ) | ( | 40 | − | 3117 100 | ) |
3117 100 | ( | 49611 50 | − | a | ) | − | 30 | ( | 49611 50 | − | a | ) | = | a | ( | 40 | − | 3117 100 | ) | − | 9957 10 | ( | 40 | − | 3117 100 | ) |
3117 100 | × | 49611 50 | − | 3117 100 | a | − | 30 | ( | 49611 50 | − | a | ) | = | a | ( | 40 | − | 3117 100 | ) | − | 9957 10 | ( | 40 | − | 3117 100 | ) |
3117 100 | × | 49611 50 | − | 3117 100 | a | − | 30 | ( | 49611 50 | − | a | ) | = | a | × | 40 | − | a | × | 3117 100 | − | 9957 10 | ( | 40 | − | 3117 100 | ) |
154637487 5000 | − | 3117 100 | a | − | 30 | ( | 49611 50 | − | a | ) | = | a | × | 40 | − | a | × | 3117 100 | − | 9957 10 | ( | 40 | − | 3117 100 | ) |
154637487 5000 | − | 3117 100 | a | − | 30 | ( | 49611 50 | − | a | ) | = | 883 100 | a | − | 9957 10 | ( | 40 | − | 3117 100 | ) |
154637487 5000 | − | 3117 100 | a | − | 30 | × | 49611 50 | + | 30 | a | = | 883 100 | a | − | 9957 10 | ( | 40 | − | 3117 100 | ) |
154637487 5000 | − | 3117 100 | a | − | 30 | × | 49611 50 | + | 30 | a | = | 883 100 | a | − | 9957 10 | × | 40 | + | 9957 10 | × | 3117 100 |
154637487 5000 | − | 3117 100 | a | − | 148833 5 | + | 30 | a | = | 883 100 | a | − | 39828 | + | 31035969 1000 |
5804487 5000 | − | 117 100 | a | = | 883 100 | a | − | 8792031 1000 |
Transposition :
| - | 117 100 | a | − | 883 100 | a | = | - | 8792031 1000 | − | 5804487 5000 |
Combine the items on the left of the equation:
| - | 10 | a | = | - | 8792031 1000 | − | 5804487 5000 |
| a1= | 24882321 25000 |
There are 1 solution(s).
解一元一次方程的详细方法请参阅：《一元一次方程的解法》