Final answer:
To solve the system of equations by graphing, plot the graphs of both equations on the same coordinate axes and find the points of intersection.
Step-by-step explanation:
To solve the system of equations by graphing, we need to plot the graphs of both equations on the same coordinate axes and find the points of intersection. The first equation, 2x^2 + 8y^2 = 50, represents an ellipse, while the second equation, x^2 + y^2 = 13, represents a circle.
By graphing the two equations, we can find the points where the ellipse and the circle intersect, which will give us the solutions to the system of equations. The points of intersection will be the x and y values that satisfy both equations simultaneously.
By graphing the two equations on the same set of axes, we can find the solutions to the system of equations. The points of intersection will represent the x and y values that satisfy both equations simultaneously. These solutions can be read from the graph or found by solving the equations directly.