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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 [(5-y)/2019]-5 = 2019(5-y)-(-8226084385/2019) .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
Remove the bracket on the right of the equation:
The equation is transformed into :
Transposition :
Combine the items on the left of the equation:
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
By reducing fraction, we can get:
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation [(5-y)/2019]-5 = 2019(5-y)-(-8226084385/2019) .
Question type: Equation
Solution:Original question:
| ( | ( | 5 | − | y | ) | ÷ | 2019 | ) | − | 5 | = | 2019 | ( | 5 | − | y | ) | − | ( | - | 8226084385 | ÷ | 2019 | ) |
| Left side of the equation = | ( | 5 | − | y | ) | ÷ | 2019 | − | 5 |
| = | 5 | × | 1 2019 | − | y | × | 1 2019 | − | 5 |
| = | 5 2019 | − | y | × | 1 2019 | − | 5 |
| = | - | 10090 2019 | − | 1 2019 | y |
| - | 10090 2019 | − | 1 2019 | y | = | 2019 | ( | 5 | − | y | ) | − | ( | - | 8226084385 | ÷ | 2019 | ) |
| Right side of the equation = | 2019 | × | 5 | − | 2019 | y | − | ( | - | 8226084385 | ÷ | 2019 | ) |
| = | 10095 | − | 2019 | y | − | ( | - | 8226084385 | ÷ | 2019 | ) |
| = | 10095 | − | 2019 | y | + | 8226084385 | ÷ | 2019 |
| = | 10095 | − | 2019 | y | + | 8226084385 2019 |
| = | 8246466190 2019 | − | 2019 | y |
| - | 10090 2019 | − | 1 2019 | y | = | 8246466190 2019 | − | 2019 | y |
Transposition :
| - | 1 2019 | y | + | 2019 | y | = | 8246466190 2019 | + | 10090 2019 |
Combine the items on the left of the equation:
4076360 2019 | y | = | 8246466190 2019 | + | 10090 2019 |
Combine the items on the right of the equation:
4076360 2019 | y | = | 8246476280 2019 |
The coefficient of the unknown number is reduced to 1 :
| y | = | 8246476280 2019 | ÷ | 4076360 2019 |
| = | 8246476280 2019 | × | 2019 4076360 |
| = | 2041207 673 | × | 673 1009 |
We obtained :
| y | = | 1373732311 679057 |
By reducing fraction, we can get:
| y | = | 2041207 1009 |
Convert the result to decimal form :
| y | = | 2023 |