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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

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To solve the system of equations [tex] \left \{ {{y = x^2-4x-21} \atop { y =-5x-22}} \right. [/tex] you should equate right sides of both equations:

[tex] x^2-4x-21=-5x-22, \\ x^2+x+1=0, \\ D=1^2-4\cdot 1=1-4=-3[/tex].
Since D<0, this equation has no solutions, and system of equations haven't solutions too.

Answer:D

Step-by-step explanation:

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