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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 (303.99-y)/1.09+y/1.03*0.03 = 19.29 .
Question type: Equation
Solution:Original question:
| ( | 30399 100 | − | y | ) | ÷ | 109 100 | + | y | ÷ | 103 100 | × | 3 100 | = | 1929 100 |
| Left side of the equation = | ( | 30399 100 | − | y | ) | × | 100 109 | + | y | × | 3 103 |
| ( | 30399 100 | − | y | ) | × | 100 109 | + | 3 103 | y | = | 1929 100 |
| Left side of the equation = | 30399 100 | × | 100 109 | − | y | × | 100 109 | + | 3 103 | y |
| = | 30399 109 | − | y | × | 100 109 | + | 3 103 | y |
| = | 30399 109 | − | 9973 11227 | y |
30399 109 | − | 9973 11227 | y | = | 1929 100 |
Transposition :
| - | 9973 11227 | y | = | 1929 100 | − | 30399 109 |
Combine the items on the right of the equation:
| - | 9973 11227 | y | = | - | 2829639 10900 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2829639 10900 | = | 9973 11227 | 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 :
9973 11227 | y | = | 2829639 10900 |
The coefficient of the unknown number is reduced to 1 :
| y | = | 2829639 10900 | ÷ | 9973 11227 |
| = | 2829639 10900 | × | 11227 9973 |
We obtained :
| y | = | 31768357053 108705700 |