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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*0.09+y/1.03*0.03 = 19.29 .
Question type: Equation
Solution:Original question:
| ( | 30399 100 | − | y | ) | ÷ | 109 100 | × | 9 100 | + | y | ÷ | 103 100 | × | 3 100 | = | 1929 100 |
| Left side of the equation = | ( | 30399 100 | − | y | ) | × | 9 109 | + | y | × | 3 103 |
| ( | 30399 100 | − | y | ) | × | 9 109 | + | 3 103 | y | = | 1929 100 |
| Left side of the equation = | 30399 100 | × | 9 109 | − | y | × | 9 109 | + | 3 103 | y |
| = | 273591 10900 | − | y | × | 9 109 | + | 3 103 | y |
| = | 273591 10900 | − | 600 11227 | y |
273591 10900 | − | 600 11227 | y | = | 1929 100 |
Transposition :
| - | 600 11227 | y | = | 1929 100 | − | 273591 10900 |
Combine the items on the right of the equation:
| - | 600 11227 | y | = | - | 6333 1090 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
6333 1090 | = | 600 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 :
600 11227 | y | = | 6333 1090 |
The coefficient of the unknown number is reduced to 1 :
| y | = | 6333 1090 | ÷ | 600 11227 |
| = | 6333 1090 | × | 11227 600 |
| = | 2111 1090 | × | 11227 200 |
We obtained :
| y | = | 23700197 218000 |
By reducing fraction, we can get:
| y | = | 217433 2000 |
Convert the result to decimal form :
| y | = | 108.7165 |