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lesson pretestMultiple Choice

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Question 1 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

Which represents the solution(s) of the system of equations, y plus 4 is equal to x squared and y minus x is equal to 2 ? Determine the solution set by graphing.

Answer
A
negative 2 comma 0
B
negative 2 comma 0 and 2 comma 0
C
negative 2 comma 0 and 3 comma 5
D
no solutions

Explanation

Rewrite the equations as y = x² − 4 and y = x + 2. Their graphs intersect where x² − 4 = x + 2, which gives (x − 3)(x + 2) = 0, so x = 3 or x = −2. Substituting into y = x + 2 gives the points (3, 5) and (−2, 0), matching choice C.

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