464
QuizMultiple Choice

Modeling with Rational Functions — Unit test

Question 464 • Crowley Credit Recovery Algebra II B

A system of equations has infinitely many solutions. If 2y – 4x = 6 is one of the equations, which could be the other equation?

Answer
A
y = 2x + 6
B
y = 4x + 6
C
–y = –2x – 3
D
–y = –4x + 6

Explanation

For the system to have infinitely many solutions, both equations must describe the same line. Rearrange 2y − 4x = 6 by dividing every term by 2: y − 2x = 3, or y = 2x + 3. Choice C, −y = −2x − 3, becomes y = 2x + 3 when multiplied by −1, so it is the same equation.

AI-written and checked against the verified answer.

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