Solve the system of equations shown in the image.

Here is the solution to the system: Given system: 1. \( x + xy + y = -3 \) 2. \( x^2 + y^2 = 5 \) Step 1: Solve equation (1) for \( x \): \[ x + xy + y = -3 \] \[ x(1 + y) + y = -3 \] \[ x = \frac{-3 - y}{1 + y}, \text{ when } y
eq -1. \] Step 2: Substitute this \( x \) into equation (2): \[ \left(\frac{-3 - y}{1 + y}\right)^2 + y^2 = 5 \] Simplify and solve for \( y \). Then substitute back to find \( x \). Final solutions: - \( x_1 = -2, y_1 = 1 \) - \( x_2 = 1, y_2 = -2 \).