By applying the graphical approach, the solution of the nonlinear system that lies in the third quadrant of the Cartesian plane is the point (x, y) = (- 2, -5).
How to find the solution of two nonlinear equations
The first equation corresponds to an ellipse whose major axis is vertical and the second equation is another ellipse with similar characteristics. There are two manners to determine the solution of the given system: (i) Analytical, (ii) Graphical.
In this situation we decide to use a graphical approach, which consists in plotting each function on a Cartesian plane. We use a graphing tool herein.
Please notice that the third quadrant of the Cartesian plane is the region of the plane such that x < 0 and y < 0. The solution of the nonlinear system that lies in the third quadrant is (x, y) = (- 2, -5).
To learn more on ellipses: https://brainly.com/question/14281133
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