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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 （29.7-20）/（30-29.7） = （a-1.05）/（0.8007-a） .
Question type: Equation
Solution:Original question:
| ( | 297 10 | − | 20 | ) | ÷ | ( | 30 | − | 297 10 | ) | = | ( | a | − | 21 20 | ) | ÷ | ( | 8007 10000 | − | a | ) |
| Multiply both sides of the equation by: | ( | 30 | − | 297 10 | ) | , | ( | 8007 10000 | − | a | ) |
| ( | 297 10 | − | 20 | ) | ( | 8007 10000 | − | a | ) | = | ( | a | − | 21 20 | ) | ( | 30 | − | 297 10 | ) |
297 10 | ( | 8007 10000 | − | a | ) | − | 20 | ( | 8007 10000 | − | a | ) | = | ( | a | − | 21 20 | ) | ( | 30 | − | 297 10 | ) |
297 10 | ( | 8007 10000 | − | a | ) | − | 20 | ( | 8007 10000 | − | a | ) | = | a | ( | 30 | − | 297 10 | ) | − | 21 20 | ( | 30 | − | 297 10 | ) |
297 10 | × | 8007 10000 | − | 297 10 | a | − | 20 | ( | 8007 10000 | − | a | ) | = | a | ( | 30 | − | 297 10 | ) | − | 21 20 | ( | 30 | − | 297 10 | ) |
297 10 | × | 8007 10000 | − | 297 10 | a | − | 20 | ( | 8007 10000 | − | a | ) | = | a | × | 30 | − | a | × | 297 10 | − | 21 20 | ( | 30 | − | 297 10 | ) |
2378079 100000 | − | 297 10 | a | − | 20 | ( | 8007 10000 | − | a | ) | = | a | × | 30 | − | a | × | 297 10 | − | 21 20 | ( | 30 | − | 297 10 | ) |
2378079 100000 | − | 297 10 | a | − | 20 | ( | 8007 10000 | − | a | ) | = | 3 10 | a | − | 21 20 | ( | 30 | − | 297 10 | ) |
2378079 100000 | − | 297 10 | a | − | 20 | × | 8007 10000 | + | 20 | a | = | 3 10 | a | − | 21 20 | ( | 30 | − | 297 10 | ) |
2378079 100000 | − | 297 10 | a | − | 20 | × | 8007 10000 | + | 20 | a | = | 3 10 | a | − | 21 20 | × | 30 | + | 21 20 | × | 297 10 |
2378079 100000 | − | 297 10 | a | − | 8007 500 | + | 20 | a | = | 3 10 | a | − | 63 2 | + | 6237 200 |
776679 100000 | − | 97 10 | a | = | 3 10 | a | − | 63 200 |
Transposition :
| - | 97 10 | a | − | 3 10 | a | = | - | 63 200 | − | 776679 100000 |
Combine the items on the left of the equation:
| - | 10 | a | = | - | 63 200 | − | 776679 100000 |
Combine the items on the right of the equation:
| - | 10 | a | = | - | 808179 100000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
808179 100000 | = | 10 | a |
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 :
| 10 | a | = | 808179 100000 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 808179 100000 | ÷ | 10 |
| = | 808179 100000 | × | 1 10 |
We obtained :
| a | = | 808179 1000000 |
Convert the result to decimal form :
| a | = | 0.808179 |