The first three steps in determining the solution set of the system of equations, y = x2 - 2x + 8 and y = 2x + 11, algebraically

are shown in the table.

Step

Step 1

Step 2

Step 3

Equation

-X° - 2x+8 - 2x+11

0 - x² + 4x+3

0 - (x + 1) (x+3)

Which represents the solution (s) of this system of equations?

(-3,-1)

(-3,5)

(-3,5) and (-1,9)

(1, 13) and (3, 20)

Question

Martin Middleton

24 November, 13:06

+5

Answers (1)

Know the Answer?

Keely Mosley · Answer 1

(-3,5) and (-1,9)

Step-by-step explanation:

x+1 = 0; x + 3=0

x = - 1; x = - 3

y = 2*-1 + 11; y = 2*-3 + 11

y = - 2+11 = 9; y = - 6 + 11 = 5