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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-91.51）/91.51*100-（-12.60） = （y-79.98）/79.98*100 .
Question type: Equation
Solution:Original question:
| ( | y | − | 9151 100 | ) | ÷ | 9151 100 | × | 100 | − | ( | - | 63 5 | ) | = | ( | y | − | 3999 50 | ) | ÷ | 3999 50 | × | 100 |
| Left side of the equation = | ( | y | − | 9151 100 | ) | × | 10000 9151 | − | ( | - | 63 5 | ) |
| ( | y | − | 9151 100 | ) | × | 10000 9151 | − | ( | - | 63 5 | ) | = | ( | y | − | 3999 50 | ) | ÷ | 3999 50 | × | 100 |
| Left side of the equation = | y | × | 10000 9151 | − | 9151 100 | × | 10000 9151 | − | ( | - | 63 5 | ) |
| = | y | × | 10000 9151 | − | 915100 9151 | − | ( | - | 63 5 | ) |
| = | 10000 9151 | y | − | 915100 9151 | + | 63 5 |
| = | 10000 9151 | y | − | 3998987 45755 |
10000 9151 | y | − | 3998987 45755 | = | ( | y | − | 3999 50 | ) | ÷ | 3999 50 | × | 100 |
| Right side of the equation = | ( | y | − | 3999 50 | ) | × | 5000 3999 |
10000 9151 | y | − | 3998987 45755 | = | ( | y | − | 3999 50 | ) | × | 5000 3999 |
| Right side of the equation = | y | × | 5000 3999 | − | 3999 50 | × | 5000 3999 |
| = | y | × | 5000 3999 | − | 100 |
10000 9151 | y | − | 3998987 45755 | = | 5000 3999 | y | − | 100 |
Transposition :
10000 9151 | y | − | 5000 3999 | y | = | - | 100 | + | 3998987 45755 |
Combine the items on the left of the equation:
| - | 5765000 36594849 | y | = | - | 100 | + | 3998987 45755 |
Combine the items on the right of the equation:
| - | 5765000 36594849 | y | = | - | 576513 45755 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
576513 45755 | = | 5765000 36594849 | 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 :
5765000 36594849 | y | = | 576513 45755 |
The coefficient of the unknown number is reduced to 1 :
| y | = | 576513 45755 | ÷ | 5765000 36594849 |
| = | 576513 45755 | × | 36594849 5765000 |
We obtained :
| y | = | 21097406181537 263777575000 |