Question

X² + 2y = -2, x+y=-1

Answer 1

Вот так. Извиняюсь за грязь

Answer 2

To solve the system of equations:

1. x² + 2y = -2
2. x + y = -1

We can use the substitution method or the elimination method. Let's solve it using the elimination method:

1. Multiply equation 2 by 2 to make the coefficients of x in both equations equal: 2(x + y) = 2(-1) 2x + 2y = -2

Now we have the following system of equations:

1. x² + 2y = -2

2. 2x + 2y = -2

3. Subtract equation 3 from equation 1 to eliminate the y term: (x² + 2y) - (2x + 2y) = -2 - (-2) x² - 2x = 0

4. Factor out x: x(x - 2) = 0

Now we have two possibilities: a) x = 0 b) x - 2 = 0, which gives x = 2

4. Substitute the values of x back into equation 2 to find the corresponding values of y:

For x = 0: 0 + y = -1 y = -1

For x = 2: 2 + y = -1 y = -3

Therefore, the solutions to the system of equations are:

1. x = 0, y = -1
2. x = 2, y = -3