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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 (566.1-y)/y = 7.1% .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
Transposition :
Combine the items on the left of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
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 :
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
By reducing fraction, we can get:
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (566.1-y)/y = 7.1% .
Question type: Equation
Solution:Original question:
| ( | 5661 10 | − | y | ) | ÷ | y | = | 71 1000 |
| Multiply both sides of the equation by: | y |
| ( | 5661 10 | − | y | ) | = | 71 1000 | y |
5661 10 | − | y | = | 71 1000 | y |
Transposition :
| - | y | − | 71 1000 | y | = | - | 5661 10 |
Combine the items on the left of the equation:
| - | 1071 1000 | y | = | - | 5661 10 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
5661 10 | = | 1071 1000 | y |
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 :
1071 1000 | y | = | 5661 10 |
The coefficient of the unknown number is reduced to 1 :
| y | = | 5661 10 | ÷ | 1071 1000 |
| = | 5661 10 | × | 1000 1071 |
| = | 629 | × | 100 119 |
We obtained :
| y | = | 62900 119 |
By reducing fraction, we can get:
| y | = | 3700 7 |
Convert the result to decimal form :
| y | = | 528.571429 |