Question

Consider the following system of equations. {-10x^2 - 10y^2 = -300 and 5x^2 + 5y^2 = 150 Which statement describes why the system has infinite solutions?

A. The equations represent parabolas that result in graphs that do not intersect.
C. The equations represent parabolas that result in the same graph.
D. The equations represent circles that result in the same graph.

Answer 1

D

Explanation:

Answer 2

Answer: D. The equations represent circles that result in the same graphs.

When two equations result in one graph, it means they will have infinite solutions. Solutions are what do you call the points of intersection of two equations being graph together. In the problem, these two equations are equations of a circle with a radius of 12.25.

-10x^2 - 10y^2 = -300 simplified.. will be, 5x^2 + 5y^2 = 150 which is the same with the next equation.