Question

Розвяжіть систему рівнянь {2x-y=-5; {3x+7y=1 Смотреть ответ osaus osaus Ответ: (-2;1) Объяснение:

Answer 1

Solving the System of Equations

To solve the system of equations:

2x - y = -5
3x + 7y = 1

we can use the method of substitution or elimination. Let's use the method of substitution.

1. Solve the first equation for x: ``` 2x - y = -5 2x = y - 5 x = (y - 5) / 2 ```

2. Substitute the value of x in the second equation: ``` 3((y - 5) / 2) + 7y = 1 (3y - 15) / 2 + 7y = 1 ```

3. Simplify and solve for y: ``` 3y - 15 + 14y = 2 17y - 15 = 2 17y = 17 y = 1 ```

4. Substitute the value of y back into the first equation to find x: ``` 2x - 1 = -5 2x = -4 x = -2 ```

Therefore, the solution to the system of equations is x = -2 and y = 1.

Explanation

By substituting the value of x from the first equation into the second equation, we were able to solve for y. Substituting the value of y back into the first equation allowed us to find the value of x. The solution to the system of equations is the point (-2, 1).

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