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QuizMultiple Choice

Systems of Equations and Inequalities — Test

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

How many solutions does this linear system have? y is equal to 5 x minus 1 negative 15 x minus 3 y is equal to 3

Answer
A
one solution: 0 comma negative 1
B
one solution: 1 comma 4
C
infinite number of solutions
D
no solution

Explanation

Substitute y = 5x − 1 into the second equation, −15x − 3y = 3: −15x − 3(5x − 1) = 3. Simplifying gives −30x + 3 = 3, so x = 0; then y = 5(0) − 1 = −1. The system has one solution, (0, −1), which is choice A.

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