9
QuizMultiple Choice

Systems of Equations and Inequalities — Test

Question 9 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

Which ordered pair open paren A comma b close paren is the solution to the following system of equations? negative 2 A plus 3 b is equal to 14 A minus 4 b is equal to 3

Answer
A
open paren negative 4 comma negative 13 close paren
B
open paren 16 and 10 over 11 comma 8 over 11 close paren
C
open paren negative 13 comma negative 4 close paren
D
open paren negative 4 comma 13 close paren

Explanation

From the second equation, a − 4b = 3, solve for a to get a = 3 + 4b. Substitute this into the first equation: −2(3 + 4b) + 3b = 14, which simplifies to −6 − 5b = 14, so b = −4. Then a = 3 + 4(−4) = −13, giving the ordered pair (−13, −4), choice C.

AI-written and checked against the verified answer.

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