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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-0.8007）/（0.656-a） .
Question type: Equation
Solution:Original question:
| ( | 3117 100 | − | 30 | ) | ÷ | ( | 40 | − | 3117 100 | ) | = | ( | a | − | 8007 10000 | ) | ÷ | ( | 82 125 | − | a | ) |
| Multiply both sides of the equation by: | ( | 40 | − | 3117 100 | ) | , | ( | 82 125 | − | a | ) |
| ( | 3117 100 | − | 30 | ) | ( | 82 125 | − | a | ) | = | ( | a | − | 8007 10000 | ) | ( | 40 | − | 3117 100 | ) |
3117 100 | ( | 82 125 | − | a | ) | − | 30 | ( | 82 125 | − | a | ) | = | ( | a | − | 8007 10000 | ) | ( | 40 | − | 3117 100 | ) |
3117 100 | ( | 82 125 | − | a | ) | − | 30 | ( | 82 125 | − | a | ) | = | a | ( | 40 | − | 3117 100 | ) | − | 8007 10000 | ( | 40 | − | 3117 100 | ) |
3117 100 | × | 82 125 | − | 3117 100 | a | − | 30 | ( | 82 125 | − | a | ) | = | a | ( | 40 | − | 3117 100 | ) | − | 8007 10000 | ( | 40 | − | 3117 100 | ) |
3117 100 | × | 82 125 | − | 3117 100 | a | − | 30 | ( | 82 125 | − | a | ) | = | a | × | 40 | − | a | × | 3117 100 | − | 8007 10000 | ( | 40 | − | 3117 100 | ) |
127797 6250 | − | 3117 100 | a | − | 30 | ( | 82 125 | − | a | ) | = | a | × | 40 | − | a | × | 3117 100 | − | 8007 10000 | ( | 40 | − | 3117 100 | ) |
127797 6250 | − | 3117 100 | a | − | 30 | ( | 82 125 | − | a | ) | = | 883 100 | a | − | 8007 10000 | ( | 40 | − | 3117 100 | ) |
127797 6250 | − | 3117 100 | a | − | 30 | × | 82 125 | + | 30 | a | = | 883 100 | a | − | 8007 10000 | ( | 40 | − | 3117 100 | ) |
127797 6250 | − | 3117 100 | a | − | 30 | × | 82 125 | + | 30 | a | = | 883 100 | a | − | 8007 10000 | × | 40 | + | 8007 10000 | × | 3117 100 |
127797 6250 | − | 3117 100 | a | − | 492 25 | + | 30 | a | = | 883 100 | a | − | 8007 250 | + | 24957819 1000000 |
4797 6250 | − | 117 100 | a | = | 883 100 | a | − | 7070181 1000000 |
Transposition :
| - | 117 100 | a | − | 883 100 | a | = | - | 7070181 1000000 | − | 4797 6250 |
Combine the items on the left of the equation:
| - | 10 | a | = | - | 7070181 1000000 | − | 4797 6250 |
a≈0.783770 , keep 6 decimal places
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》