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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 45.57+11.86y = 33.05y+111.89 .
Question type: Equation
Solution:Original question:
4557 100 | + | 593 50 | y | = | 661 20 | y | + | 11189 100 |
Transposition :
593 50 | y | − | 661 20 | y | = | 11189 100 | − | 4557 100 |
Combine the items on the left of the equation:
| - | 2119 100 | y | = | 11189 100 | − | 4557 100 |
Combine the items on the right of the equation:
| - | 2119 100 | y | = | 1658 25 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 1658 25 | = | 2119 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 :
2119 100 | y | = | - | 1658 25 |
The coefficient of the unknown number is reduced to 1 :
| y | = | - | 1658 25 | ÷ | 2119 100 |
| = | - | 1658 25 | × | 100 2119 |
| = | - | 1658 | × | 4 2119 |
We obtained :
| y | = | - | 6632 2119 |
Convert the result to decimal form :
| y | = | - 3.129778 |