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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 30*(1-y)+60y = 24.14*(1-y)+78.33y .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
Remove the bracket on the right of the equation:
The equation is transformed into :
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 30*(1-y)+60y = 24.14*(1-y)+78.33y .
Question type: Equation
Solution:Original question:
| 30 | ( | 1 | − | y | ) | + | 60 | y | = | 1207 50 | ( | 1 | − | y | ) | + | 7833 100 | y |
| Left side of the equation = | 30 | × | 1 | − | 30 | y | + | 60 | y |
| = | 30 | − | 30 | y | + | 60 | y |
| = | 30 | + | 30 | y |
| 30 | + | 30 | y | = | 1207 50 | ( | 1 | − | y | ) | + | 7833 100 | y |
| Right side of the equation = | 1207 50 | × | 1 | − | 1207 50 | y | + | 7833 100 | y |
| = | 1207 50 | − | 1207 50 | y | + | 7833 100 | y |
| = | 1207 50 | + | 5419 100 | y |
| 30 | + | 30 | y | = | 1207 50 | + | 5419 100 | y |
Transposition :
| 30 | y | − | 5419 100 | y | = | 1207 50 | − | 30 |
Combine the items on the left of the equation:
| - | 2419 100 | y | = | 1207 50 | − | 30 |
Combine the items on the right of the equation:
| - | 2419 100 | y | = | - | 293 50 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
293 50 | = | 2419 100 | 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 :
2419 100 | y | = | 293 50 |
The coefficient of the unknown number is reduced to 1 :
| y | = | 293 50 | ÷ | 2419 100 |
| = | 293 50 | × | 100 2419 |
| = | 293 | × | 2 2419 |
We obtained :
| y | = | 586 2419 |
Convert the result to decimal form :
| y | = | 0.242249 |