23
QuizMultiple Choice

Systems of Equations and Inequalities — Test

Question 23 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

Which is the approximate solution to the system y is equal to 0 point 5 x plus 3 point 5 and y is equal to negative 2 thirds x plus 1 third shown on the graph?

Answer
A
2 point 7 comma 2 point 1
B
negative 2 point 1 comma 2 point 7
C
2 point 1 comma 2 point 7
D
negative 2 point 7 comma 2 point 1

Explanation

At the intersection, the two expressions for y are equal: 0.5x + 3.5 = −(2/3)x + 1/3. Solving gives x = −19/7, approximately −2.7. Substituting into y = 0.5x + 3.5 gives y ≈ 2.1, so the approximate solution is (−2.7, 2.1), choice A.

AI-written and checked against the verified answer.

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