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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)

User Leo Jiang
by
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2 Answers

1 vote

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

Step-by-step explanation:I ain’t gonna lie stole this mans answer but for trust reasons

User Jtheman
by
3.6k points
6 votes

Answer:

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

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

User Educated
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3.8k points