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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-64.49)/64.49*100-(-9.06) = (y-58.65)/58.65*100 .
Question type: Equation
Solution:Original question:
| ( | y | − | 6449 100 | ) | ÷ | 6449 100 | × | 100 | − | ( | - | 453 50 | ) | = | ( | y | − | 1173 20 | ) | ÷ | 1173 20 | × | 100 |
| Left side of the equation = | ( | y | − | 6449 100 | ) | × | 10000 6449 | − | ( | - | 453 50 | ) |
| ( | y | − | 6449 100 | ) | × | 10000 6449 | − | ( | - | 453 50 | ) | = | ( | y | − | 1173 20 | ) | ÷ | 1173 20 | × | 100 |
| Left side of the equation = | y | × | 10000 6449 | − | 6449 100 | × | 10000 6449 | − | ( | - | 453 50 | ) |
| = | y | × | 10000 6449 | − | 644900 6449 | − | ( | - | 453 50 | ) |
| = | 10000 6449 | y | − | 644900 6449 | + | 453 50 |
| = | 10000 6449 | y | − | 29323603 322450 |
10000 6449 | y | − | 29323603 322450 | = | ( | y | − | 1173 20 | ) | ÷ | 1173 20 | × | 100 |
| Right side of the equation = | ( | y | − | 1173 20 | ) | × | 2000 1173 |
10000 6449 | y | − | 29323603 322450 | = | ( | y | − | 1173 20 | ) | × | 2000 1173 |
| Right side of the equation = | y | × | 2000 1173 | − | 1173 20 | × | 2000 1173 |
| = | y | × | 2000 1173 | − | 100 |
10000 6449 | y | − | 29323603 322450 | = | 2000 1173 | y | − | 100 |
Transposition :
10000 6449 | y | − | 2000 1173 | y | = | - | 100 | + | 29323603 322450 |
Combine the items on the left of the equation:
| - | 1168000 7564677 | y | = | - | 100 | + | 29323603 322450 |
Combine the items on the right of the equation:
| - | 1168000 7564677 | y | = | - | 2921397 322450 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2921397 322450 | = | 1168000 7564677 | 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 :
1168000 7564677 | y | = | 2921397 322450 |
The coefficient of the unknown number is reduced to 1 :
| y | = | 2921397 322450 | ÷ | 1168000 7564677 |
| = | 2921397 322450 | × | 7564677 1168000 |
We obtained :
| y | = | 22099424693769 376621600000 |