The first two steps in determining the solution set of the system of equations, y = x2 – 2x – 3 and y = –x +3, algebraically are shown in the table. Which represents the solution(s) of this system of equations?

(3, 0) and (–2, 5)
(–6, 9) and (1, 2)
(–3, 6) and (2, 1)
(6, –3) and (–1, 4)

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step-by-step explanation:

x=-7

step-by-step explanation:

x+3=-10

-10+3=-7

x=-7

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

3

step-by-step explanation: