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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 (X-0.06)/(0.07-0.06) = (X-1002.77)/(961.61-1002.77) .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
Remove a bracket on the right of the equation:：
Remove a bracket on the left of the equation:
Remove a bracket on the right of the equation:：
The equation is reduced to :
Remove a bracket on the left of the equation:
Remove a bracket on the right of the equation:：
The equation is reduced to :
The equation is reduced to :
Transposition :
Combine the items on the left of the equation:
Combine the items on the right 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.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (X-0.06)/(0.07-0.06) = (X-1002.77)/(961.61-1002.77) .
Question type: Equation
Solution:Original question:
| ( | X | − | 3 50 | ) | ÷ | ( | 7 100 | − | 3 50 | ) | = | ( | X | − | 100277 100 | ) | ÷ | ( | 96161 100 | − | 100277 100 | ) |
| Multiply both sides of the equation by: | ( | 7 100 | − | 3 50 | ) | , | ( | 96161 100 | − | 100277 100 | ) |
| ( | X | − | 3 50 | ) | ( | 96161 100 | − | 100277 100 | ) | = | ( | X | − | 100277 100 | ) | ( | 7 100 | − | 3 50 | ) |
| X | ( | 96161 100 | − | 100277 100 | ) | − | 3 50 | ( | 96161 100 | − | 100277 100 | ) | = | ( | X | − | 100277 100 | ) | ( | 7 100 | − | 3 50 | ) |
| X | ( | 96161 100 | − | 100277 100 | ) | − | 3 50 | ( | 96161 100 | − | 100277 100 | ) | = | X | ( | 7 100 | − | 3 50 | ) | − | 100277 100 | ( | 7 100 | − | 3 50 | ) |
| X | × | 96161 100 | − | X | × | 100277 100 | − | 3 50 | ( | 96161 100 | − | 100277 100 | ) | = | X | ( | 7 100 | − | 3 50 | ) | − | 100277 100 | ( | 7 100 | − | 3 50 | ) |
| X | × | 96161 100 | − | X | × | 100277 100 | − | 3 50 | ( | 96161 100 | − | 100277 100 | ) | = | X | × | 7 100 | − | X | × | 3 50 | − | 100277 100 | ( | 7 100 | − | 3 50 | ) |
| - | 1029 25 | X | − | 3 50 | ( | 96161 100 | − | 100277 100 | ) | = | 1 100 | X | − | 100277 100 | ( | 7 100 | − | 3 50 | ) |
| - | 1029 25 | X | − | 3 50 | × | 96161 100 | + | 3 50 | × | 100277 100 | = | 1 100 | X | − | 100277 100 | ( | 7 100 | − | 3 50 | ) |
| - | 1029 25 | X | − | 3 50 | × | 96161 100 | + | 3 50 | × | 100277 100 | = | 1 100 | X | − | 100277 100 | × | 7 100 | + | 100277 100 | × | 3 50 |
| - | 1029 25 | X | − | 288483 5000 | + | 300831 5000 | = | 1 100 | X | − | 701939 10000 | + | 300831 5000 |
| - | 1029 25 | X | + | 3087 1250 | = | 1 100 | X | − | 100277 10000 |
Transposition :
| - | 1029 25 | X | − | 1 100 | X | = | - | 100277 10000 | − | 3087 1250 |
Combine the items on the left of the equation:
| - | 4117 100 | X | = | - | 100277 10000 | − | 3087 1250 |
Combine the items on the right of the equation:
| - | 4117 100 | X | = | - | 124973 10000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
124973 10000 | = | 4117 100 | X |
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 :
4117 100 | X | = | 124973 10000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 124973 10000 | ÷ | 4117 100 |
| = | 124973 10000 | × | 100 4117 |
| = | 124973 100 | × | 1 4117 |
We obtained :
| X | = | 124973 411700 |
Convert the result to decimal form :
| X | = | 0.303554 |