Question 8 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY
The first two steps in determining the solution set of the system of equations, y is equal to x squared minus 2 x minus 3 and y is equal to negative x plus 3 , algebraically are shown in the table. Step Equation Step 1 x squared minus 2 x minus 3 is equal to negative x plus 3 Step 2 0 is equal to x squared minus x minus 6 Which represents the solution(s) of this system of equations?
Answer
A
negative 6 comma 9 and 1 comma 2
B
6 comma negative 3 and negative 1 comma 4
C
negative 3 comma 6 and 2 comma 1
D
3 comma 0 and negative 2 comma 5
Explanation
Factor the equation from Step 2: x² − x − 6 = (x − 3)(x + 2) = 0, so x = 3 or x = −2. Substitute these values into y = −x + 3: when x = 3, y = 0; when x = −2, y = 5. The solutions are (3, 0) and (−2, 5), which is choice D.
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