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Which represents the solution(s) of this system of equations? (–3, –1) (–3, 5) (–3, 5) and (–1, 9) (1, 13) and (3, 20)

Respuesta :

lolacromwell7

Answer:

Following on from step 3

0 = (x + 1)(x + 3)

equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 3 = 0 ⇒ x = - 3

Substitute these values into either of the 2 equations for the corresponding value of y

using y = 2x + 11

x = - 1 : y = - 2 + 11 = 9 ⇒ (- 1, 9 )

x = - 3 : y = - 6 + 11 = 5 ⇒ (- 3, 5 )

solutions are (- 3, 5 ) and (- 1, 9 ) <<<<<<< CORRECT

Step-by-step explanation:

The solutions that represents the system of the equation are (- 3, 5 ) and (- 1, 9 )

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

0 = (x + 1)(x + 3)

By equating each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 3 = 0 ⇒ x = - 3

Substitute these values in 2 equations for the corresponding value of y

using y = 2x + 11

x = - 1

y = - 2 + 11 = 9 ⇒ (- 1, 9 )

x = - 3

y = - 6 + 11 = 5 ⇒ (- 3, 5 )

Therefore, the solutions are (- 3, 5 ) and (- 1, 9 )

Learn more about the system of equations here:

https://brainly.com/question/26675692

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