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Which represents the solution(s) of the system of equations, y + 4 = x2 and y – x = 2? Determine the solution set by graphing.

(–2, 0)
(–2, 0) and (2, 0)
(–2, 0) and (3, 5)
no solutions

Respuesta :

calculista

Answer:

[tex](-2,0)[/tex] and [tex](3,5)[/tex]

Step-by-step explanation:

we have

[tex]y+4=x^{2}[/tex] -----> equation A

Is a vertical parabola open upward

[tex]y-x=2[/tex] ----> equation B

Is the equation of a line

we know that

The solution of the system of equations is the intersection point both graphs

Using a graphing tool

The intersection points are [tex](-2,0)[/tex] and [tex](3,5)[/tex]

see the attached figure


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MrRoyal

The solution set of the system of equation is (c) (-2,0) and (3,5)

How to determine the solution set?

The system of equations is given as:

y + 4 = x^2

y - x = 2

Next, we plot the equations

From the graph of the equations (see attachment), we have:

(x,y) = (-2,0) and (3,5)

Hence, the solution set of the system of equation is (c) (-2,0) and (3,5)

Read more about system of equation at:

https://brainly.com/question/14323743

#SPJ5

Ver imagen MrRoyal

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