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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 (y-202.54)/202.54*100-(0.92) = (y-204.41)/204.41*100 .
Question type: Equation
Solution:Original question:
| ( | y | − | 10127 50 | ) | ÷ | 10127 50 | × | 100 | − | ( | 23 25 | ) | = | ( | y | − | 20441 100 | ) | ÷ | 20441 100 | × | 100 |
| Left side of the equation = | ( | y | − | 10127 50 | ) | × | 5000 10127 | − | ( | 23 25 | ) |
| ( | y | − | 10127 50 | ) | × | 5000 10127 | − | ( | 23 25 | ) | = | ( | y | − | 20441 100 | ) | ÷ | 20441 100 | × | 100 |
| Left side of the equation = | y | × | 5000 10127 | − | 10127 50 | × | 5000 10127 | − | ( | 23 25 | ) |
| = | y | × | 5000 10127 | − | 100 | − | ( | 23 25 | ) |
| = | 5000 10127 | y | − | 100 | − | 23 25 |
| = | 5000 10127 | y | − | 2523 25 |
5000 10127 | y | − | 2523 25 | = | ( | y | − | 20441 100 | ) | ÷ | 20441 100 | × | 100 |
| Right side of the equation = | ( | y | − | 20441 100 | ) | × | 10000 20441 |
5000 10127 | y | − | 2523 25 | = | ( | y | − | 20441 100 | ) | × | 10000 20441 |
| Right side of the equation = | y | × | 10000 20441 | − | 20441 100 | × | 10000 20441 |
| = | y | × | 10000 20441 | − | 2044100 20441 |
5000 10127 | y | − | 2523 25 | = | 10000 20441 | y | − | 2044100 20441 |
Transposition :
5000 10127 | y | − | 10000 20441 | y | = | - | 2044100 20441 | + | 2523 25 |
Combine the items on the left of the equation:
935000 207006007 | y | = | - | 2044100 20441 | + | 2523 25 |
Combine the items on the right of the equation:
935000 207006007 | y | = | 470143 511025 |
The coefficient of the unknown number is reduced to 1 :
| y | = | 470143 511025 | ÷ | 935000 207006007 |
| = | 470143 511025 | × | 207006007 935000 |
We obtained :
| y | = | 97322425149001 477808375000 |