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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 （29.73-20）/（30-29.73） = （a-1.05）/（0.8007-a） .
Question type: Equation
Solution:Original question:
| ( | 2973 100 | − | 20 | ) | ÷ | ( | 30 | − | 2973 100 | ) | = | ( | a | − | 21 20 | ) | ÷ | ( | 8007 10000 | − | a | ) |
| Multiply both sides of the equation by: | ( | 30 | − | 2973 100 | ) | , | ( | 8007 10000 | − | a | ) |
| ( | 2973 100 | − | 20 | ) | ( | 8007 10000 | − | a | ) | = | ( | a | − | 21 20 | ) | ( | 30 | − | 2973 100 | ) |
2973 100 | ( | 8007 10000 | − | a | ) | − | 20 | ( | 8007 10000 | − | a | ) | = | ( | a | − | 21 20 | ) | ( | 30 | − | 2973 100 | ) |
2973 100 | ( | 8007 10000 | − | a | ) | − | 20 | ( | 8007 10000 | − | a | ) | = | a | ( | 30 | − | 2973 100 | ) | − | 21 20 | ( | 30 | − | 2973 100 | ) |
2973 100 | × | 8007 10000 | − | 2973 100 | a | − | 20 | ( | 8007 10000 | − | a | ) | = | a | ( | 30 | − | 2973 100 | ) | − | 21 20 | ( | 30 | − | 2973 100 | ) |
2973 100 | × | 8007 10000 | − | 2973 100 | a | − | 20 | ( | 8007 10000 | − | a | ) | = | a | × | 30 | − | a | × | 2973 100 | − | 21 20 | ( | 30 | − | 2973 100 | ) |
23804811 1000000 | − | 2973 100 | a | − | 20 | ( | 8007 10000 | − | a | ) | = | a | × | 30 | − | a | × | 2973 100 | − | 21 20 | ( | 30 | − | 2973 100 | ) |
23804811 1000000 | − | 2973 100 | a | − | 20 | ( | 8007 10000 | − | a | ) | = | 27 100 | a | − | 21 20 | ( | 30 | − | 2973 100 | ) |
23804811 1000000 | − | 2973 100 | a | − | 20 | × | 8007 10000 | + | 20 | a | = | 27 100 | a | − | 21 20 | ( | 30 | − | 2973 100 | ) |
23804811 1000000 | − | 2973 100 | a | − | 20 | × | 8007 10000 | + | 20 | a | = | 27 100 | a | − | 21 20 | × | 30 | + | 21 20 | × | 2973 100 |
23804811 1000000 | − | 2973 100 | a | − | 8007 500 | + | 20 | a | = | 27 100 | a | − | 63 2 | + | 62433 2000 |
7790811 1000000 | − | 973 100 | a | = | 27 100 | a | − | 567 2000 |
Transposition :
| - | 973 100 | a | − | 27 100 | a | = | - | 567 2000 | − | 7790811 1000000 |
Combine the items on the left of the equation:
| - | 10 | a | = | - | 567 2000 | − | 7790811 1000000 |