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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 (5-x)/19+(3.3-x)/20.33 = x/0.015 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
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 (5-x)/19+(3.3-x)/20.33 = x/0.015 .
Question type: Equation
Solution:Original question:
| ( | 5 | − | x | ) | ÷ | 19 | + | ( | 33 10 | − | x | ) | ÷ | 2033 100 | = | x | ÷ | 3 200 |
| Left side of the equation = | 5 | × | 1 19 | − | x | × | 1 19 | + | ( | 33 10 | − | x | ) | × | 100 2033 |
| = | 5 19 | − | x | × | 1 19 | + | ( | 33 10 | − | x | ) | × | 100 2033 |
| = | 5 19 | − | 1 19 | x | + | 33 10 | × | 100 2033 | − | x | × | 100 2033 |
| = | 5 19 | − | 1 19 | x | + | 330 2033 | − | x | × | 100 2033 |
| = | 865 2033 | − | 207 2033 | x |
865 2033 | − | 207 2033 | x | = | x | ÷ | 3 200 |
Transposition :
| - | 207 2033 | x | − | 200 3 | x | = | - | 865 2033 |
Combine the items on the left of the equation:
| - | 407221 6099 | x | = | - | 865 2033 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
865 2033 | = | 407221 6099 | 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 :
407221 6099 | x | = | 865 2033 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 865 2033 | ÷ | 407221 6099 |
| = | 865 2033 | × | 6099 407221 |
| = | 865 107 | × | 321 407221 |
We obtained :
| x | = | 277665 43572647 |
By reducing fraction, we can get:
| x | = | 2595 407221 |
Convert the result to decimal form :
| x | = | 0.006372 |