7
QuizMultiple Choice

Mathematical Modeling: Part One — Test

Question 7 • Mathematics III

Which equation can pair with x minus y is equal to negative 2 to create a consistent and dependent system?

Answer
A
negative 8 x minus 3 y is equal to 2
B
negative 3 x plus 3 y is equal to 6
C
4 x minus 4 y is equal to 6
D
6 x plus 2 y is equal to 15

Explanation

A consistent and dependent system has two equations that describe the same line, so one equation must be a multiple of x − y = −2. Multiplying both sides by −3 gives −3x + 3y = 6. This matches choice A, so the equations have infinitely many solutions.

AI-written and checked against the verified answer.

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