4
QuizMultiple Choice

Modeling with Two-Variable Linear Inequalities — Unit test

Question 4 • AL-Algebra I with Probability Critical Standards

y=5x – 1–15x – 3y=3

Answer
A
one solution: (0, –1)
B
one solution: (1, 4)
C
no solution
D
infinite number of solutions

Explanation

Substitute y = 5x − 1 into the second equation, −15x − 3y = 3. This gives −15x − 3(5x − 1) = 3, so −30x + 3 = 3 and x = 0. Then y = 5(0) − 1 = −1, so the system has one solution: (0, −1).

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