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

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 )

Step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

a. is correct