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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 213007.079+（y-y*0.85）/1.05*0.05 = y .
Question type: Equation
Solution:Original question:
213007079 1000 | + | ( | y | − | y | × | 17 20 | ) | ÷ | 21 20 | × | 1 20 | = | y |
| Left side of the equation = | 213007079 1000 | + | ( | y | − | y | × | 17 20 | ) | × | 1 21 |
213007079 1000 | + | ( | y | − | y | × | 17 20 | ) | × | 1 21 | = | y |
| Left side of the equation = | 213007079 1000 | + | y | × | 1 21 | − | y | × | 17 20 | × | 1 21 |
| = | 213007079 1000 | + | y | × | 1 21 | − | y | × | 17 420 |
| = | 213007079 1000 | + | 1 140 | y |
213007079 1000 | + | 1 140 | y | = | y |
Transposition :
1 140 | y | − | y | = | - | 213007079 1000 |
Combine the items on the left of the equation:
| - | 139 140 | y | = | - | 213007079 1000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
213007079 1000 | = | 139 140 | 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 :
139 140 | y | = | 213007079 1000 |
The coefficient of the unknown number is reduced to 1 :
| y | = | 213007079 1000 | ÷ | 139 140 |
| = | 213007079 1000 | × | 140 139 |
| = | 213007079 50 | × | 7 139 |
We obtained :
| y | = | 1491049553 6950 |
Convert the result to decimal form :
| y | = | 214539.504029 |