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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 5.45y+2.9+9.8y+95.55 = 7.21y+26.31+9.8y .
Question type: Equation
Solution:Original question:
109 20 | y | + | 29 10 | + | 49 5 | y | + | 1911 20 | = | 721 100 | y | + | 2631 100 | + | 49 5 | y |
| Left side of the equation = | 61 4 | y | + | 1969 20 |
61 4 | y | + | 1969 20 | = | 721 100 | y | + | 2631 100 | + | 49 5 | y |
| Right side of the equation = | 1701 100 | y | + | 2631 100 |
61 4 | y | + | 1969 20 | = | 1701 100 | y | + | 2631 100 |
Transposition :
61 4 | y | − | 1701 100 | y | = | 2631 100 | − | 1969 20 |
Combine the items on the left of the equation:
| - | 44 25 | y | = | 2631 100 | − | 1969 20 |
Combine the items on the right of the equation:
| - | 44 25 | y | = | - | 3607 50 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
3607 50 | = | 44 25 | 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 :
44 25 | y | = | 3607 50 |
The coefficient of the unknown number is reduced to 1 :
| y | = | 3607 50 | ÷ | 44 25 |
| = | 3607 50 | × | 25 44 |
| = | 3607 2 | × | 1 44 |
We obtained :
| y | = | 3607 88 |
Convert the result to decimal form :
| y | = | 40.988636 |