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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-31.99)/31.99*100-(-2.66) = (y-31.14)/31.14*100 .
Question type: Equation
Solution:Original question:
| ( | y | − | 3199 100 | ) | ÷ | 3199 100 | × | 100 | − | ( | - | 133 50 | ) | = | ( | y | − | 1557 50 | ) | ÷ | 1557 50 | × | 100 |
| Left side of the equation = | ( | y | − | 3199 100 | ) | × | 10000 3199 | − | ( | - | 133 50 | ) |
| ( | y | − | 3199 100 | ) | × | 10000 3199 | − | ( | - | 133 50 | ) | = | ( | y | − | 1557 50 | ) | ÷ | 1557 50 | × | 100 |
| Left side of the equation = | y | × | 10000 3199 | − | 3199 100 | × | 10000 3199 | − | ( | - | 133 50 | ) |
| = | y | × | 10000 3199 | − | 100 | − | ( | - | 133 50 | ) |
| = | 10000 3199 | y | − | 100 | + | 133 50 |
| = | 10000 3199 | y | − | 4867 50 |
10000 3199 | y | − | 4867 50 | = | ( | y | − | 1557 50 | ) | ÷ | 1557 50 | × | 100 |
| Right side of the equation = | ( | y | − | 1557 50 | ) | × | 5000 1557 |
10000 3199 | y | − | 4867 50 | = | ( | y | − | 1557 50 | ) | × | 5000 1557 |
| Right side of the equation = | y | × | 5000 1557 | − | 1557 50 | × | 5000 1557 |
| = | y | × | 5000 1557 | − | 100 |
10000 3199 | y | − | 4867 50 | = | 5000 1557 | y | − | 100 |
Transposition :
10000 3199 | y | − | 5000 1557 | y | = | - | 100 | + | 4867 50 |
Combine the items on the left of the equation:
| - | 425000 4980843 | y | = | - | 100 | + | 4867 50 |
Combine the items on the right of the equation:
| - | 425000 4980843 | y | = | - | 133 50 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
133 50 | = | 425000 4980843 | 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 :
425000 4980843 | y | = | 133 50 |
The coefficient of the unknown number is reduced to 1 :
| y | = | 133 50 | ÷ | 425000 4980843 |
| = | 133 50 | × | 4980843 425000 |
We obtained :
| y | = | 662452119 21250000 |
Convert the result to decimal form :
| y | = | 31.174217 |