Question

Which of the following is equivalent to -2 + 3y = -6?

A) y = 3x - 6
B) y = 3-6
C) y = -1
D) y = 1

Answer 1

The equivalent equation for -2 + 3y = -6, solved for y, is y = -4/3. The provided answer choices do not include this value, suggesting there might be an error in the answer choices or the question.

Step-by-step explanation:

To find the equivalent of the equation -2 + 3y = -6, we need to solve for y. Let's isolate y on one side of the equation.

• Add 2 to both sides of the equation: -2 + 2 + 3y = -6 + 2, which simplifies to 3y = -4.
• Divide both sides of the equation by 3: 3y / 3 = -4 / 3, resulting in y = -4/3 or y = -1.333...

Since none of the answer choices exactly match y = -4/3, we must assume that there might be a typo in the provided choices. However, the closest match is D) y = 1, which is not mathematically correct based on the given equation. Therefore, we must conclude there is an error in the answer choices or in the transcription of the question.