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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-2)/2019+y/2020+(y+2)/2021 = 6 .
Question type: Equation
Solution:Original question:
| ( | y | − | 2 | ) | ÷ | 2019 | + | y | ÷ | 2020 | + | ( | y | + | 2 | ) | ÷ | 2021 | = | 6 |
| Left side of the equation = | y | × | 1 2019 | − | 2 | × | 1 2019 | + | 1 2020 | y | + | ( | y | + | 2 | ) | × | 1 2021 |
| = | y | × | 1 2019 | − | 2 2019 | + | 1 2020 | y | + | ( | y | + | 2 | ) | × | 1 2021 |
| = | 4039 4078380 | y | − | 2 2019 | + | ( | y | + | 2 | ) | × | 1 2021 |
| = | 4039 4078380 | y | − | 2 2019 | + | y | × | 1 2021 | + | 2 | × | 1 2021 |
| = | 4039 4078380 | y | − | 2 2019 | + | y | × | 1 2021 | + | 2 2021 |
| = | 12241199 8242405980 | y | − | 4 4080399 |
12241199 8242405980 | y | − | 4 4080399 | = | 6 |
Transposition :
12241199 8242405980 | y | = | 6 | + | 4 4080399 |
Combine the items on the right of the equation:
12241199 8242405980 | y | = | 24482398 4080399 |
The coefficient of the unknown number is reduced to 1 :
| y | = | 24482398 4080399 | ÷ | 12241199 8242405980 |
| = | 24482398 4080399 | × | 8242405980 12241199 |
| = | 13966 673 | × | 1359460 6983 |
We obtained :
| y | = | 18986218360 4699559 |