Which represents the solution(s) of the system of equations, y = x2 – 4x – 21 and y = –5x – 22? determine the solution set algebraically.

(–1, –17)
(1, –27)
(–1, –17) and (1, –27)
no solutions

D. No solutions.

Step-by-step explanation:

We have been given a system of equations and we are asked to find the solution set for our given system.

To find the solution for our given system we will equate our both equations as:

We will use discriminant formula to check for the solution of our given system.

for real solutions.

Upon substituting our given values in above formula we will get,

Therefore, our given system has no solutions and option D is the correct choices.

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step-by-step explanation

2r= 2300

r =1150