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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-88.22)/88.22*100-(-3.98) = (y-84.71)/84.71*100 .
Question type: Equation
Solution:Original question:
| ( | y | − | 4411 50 | ) | ÷ | 4411 50 | × | 100 | − | ( | - | 199 50 | ) | = | ( | y | − | 8471 100 | ) | ÷ | 8471 100 | × | 100 |
| Left side of the equation = | ( | y | − | 4411 50 | ) | × | 5000 4411 | − | ( | - | 199 50 | ) |
| ( | y | − | 4411 50 | ) | × | 5000 4411 | − | ( | - | 199 50 | ) | = | ( | y | − | 8471 100 | ) | ÷ | 8471 100 | × | 100 |
| Left side of the equation = | y | × | 5000 4411 | − | 4411 50 | × | 5000 4411 | − | ( | - | 199 50 | ) |
| = | y | × | 5000 4411 | − | 100 | − | ( | - | 199 50 | ) |
| = | 5000 4411 | y | − | 100 | + | 199 50 |
| = | 5000 4411 | y | − | 4801 50 |
5000 4411 | y | − | 4801 50 | = | ( | y | − | 8471 100 | ) | ÷ | 8471 100 | × | 100 |
| Right side of the equation = | ( | y | − | 8471 100 | ) | × | 10000 8471 |
5000 4411 | y | − | 4801 50 | = | ( | y | − | 8471 100 | ) | × | 10000 8471 |
| Right side of the equation = | y | × | 10000 8471 | − | 8471 100 | × | 10000 8471 |
| = | y | × | 10000 8471 | − | 100 |
5000 4411 | y | − | 4801 50 | = | 10000 8471 | y | − | 100 |
Transposition :
5000 4411 | y | − | 10000 8471 | y | = | - | 100 | + | 4801 50 |
Combine the items on the left of the equation:
| - | 1755000 37365581 | y | = | - | 100 | + | 4801 50 |
Combine the items on the right of the equation:
| - | 1755000 37365581 | y | = | - | 199 50 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
199 50 | = | 1755000 37365581 | 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 :
1755000 37365581 | y | = | 199 50 |
The coefficient of the unknown number is reduced to 1 :
| y | = | 199 50 | ÷ | 1755000 37365581 |
| = | 199 50 | × | 37365581 1755000 |
We obtained :
| y | = | 7435750619 87750000 |
Convert the result to decimal form :
| y | = | 84.737899 |