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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 0.067（76.2035-y）+0.057y = 4.396 .
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 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 0.067（76.2035-y）+0.057y = 4.396 .
Question type: Equation
Solution:Original question:
67 1000 | ( | 152407 2000 | − | y | ) | + | 57 1000 | y | = | 1099 250 |
| Left side of the equation = | 67 1000 | × | 152407 2000 | − | 67 1000 | y | + | 57 1000 | y |
| = | 10211269 2000000 | − | 67 1000 | y | + | 57 1000 | y |
| = | 10211269 2000000 | − | 1 100 | y |
10211269 2000000 | − | 1 100 | y | = | 1099 250 |
Transposition :
| - | 1 100 | y | = | 1099 250 | − | 10211269 2000000 |
Combine the items on the right of the equation:
| - | 1 100 | y | = | - | 1419269 2000000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1419269 2000000 | = | 1 100 | 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 :
1 100 | y | = | 1419269 2000000 |
The coefficient of the unknown number is reduced to 1 :
| y | = | 1419269 2000000 | ÷ | 1 100 |
| = | 1419269 2000000 | × | 100 |
| = | 1419269 20000 | × | 1 |
We obtained :
| y | = | 1419269 20000 |
Convert the result to decimal form :
| y | = | 70.96345 |