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:

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the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).