Question

4x-2y=2 2x+y=5 Решите пожалуйста!!! Решите систему уравнения!!

Answer 1

2Х + Y = 5       ( *  ( - 2 )) 
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- 4X - 2Y = - 10 
   4X - 2Y = 2 
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- 4Y = - 8 
   Y = 2 
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2X + Y = 5 
2X + 2 = 5 
2X = 3 
X = 1,5

Answer 2

Solving the System of Equations

To solve the system of equations: ``` 4x - 2y = 2 2x + y = 5 ```

We can use various methods such as substitution, elimination, or matrices. Let's solve it using the substitution method.

Substitution Method

1. Solve one equation for one variable in terms of the other variable. Let's solve the second equation for x: ``` 2x + y = 5 2x = 5 - y x = (5 - y) / 2 ```

2. Substitute the expression for x into the other equation: ``` 4x - 2y = 2 4((5 - y) / 2) - 2y = 2 2(5 - y) - 2y = 2 10 - 2y - 2y = 2 10 - 4y = 2 -4y = 2 - 10 -4y = -8 y = -8 / -4 y = 2 ```

3. Substitute the value of y back into the expression for x: ``` x = (5 - y) / 2 x = (5 - 2) / 2 x = 3 / 2 x = 1.5 ```

Therefore, the solution to the system of equations is x = 1.5 and y = 2.

Note: The solution provided is based on the given equations. Please double-check the equations and the solution for accuracy.