Solve the system of equations below graphically.
X=2-y
y=x² – 4

A) (0, -4)
B) (1.5, 0) and (-3,5)
C) (2,0) and (-2,5)
D) (2,0) and (-3,5)

Option D: is the solution to the system of equations.

Explanation:

Given that the system of equations are and

We need to determine the solution to the system of equations graphically.

Let us consider plotting the equation in the graph.

First, we shall determine the x and y intercepts for the equation

When , we get,

Similarly, when , we get,

Thus, let us join the coordinates and to get the equation of the line.

Let us consider plotting the equation in the graph.

When ⇒

When ⇒

Thus, let us join the coordinates , and to get the equation of the parabola.

The solution of the two equations is the point of intersection of these two lines.

Hence, the lines intersect at the points

Therefore, Option D is the correct answer.

The image of the solution is attached below:

y > 1/3x

y < = -x + 4

hope this : )