Question

Solve for y in the equation −14=− 2/3y. Simplify your answer as much as possible.

a) y=−42
b) y=42
c) y=−28
d) y=28

Answer 1

The solution to the equation −14 = − 2/3y is found by multiplying both sides by the reciprocal of − 2/3, which gives us y = − 21. The given options for y do not include this result, indicating a possible error in the question or options provided.

Step-by-step explanation:

The question is asking to solve for y in the equation −14 = − 2/3y. To find the value of y, we can multiply both sides of the equation by the reciprocal of − 2/3 to isolate y on one side of the equation.

First, let's write down the equation:

−14 = − 2/3y

Next, we multiply both sides by the reciprocal of − 2/3, which is ∑ 3/2:

(∑ 3/2) − 14 = (∑ 3/2) − 2/3y

Now simplify:

− 21 = y

So the solution for y is − 21. However, none of the provided options (a, b, c, or d) matches this answer. There may be a mistake in the transcription of the question or the provided options. When simplifying this type of equation, it's important to apply the same operation to both sides to maintain the equality.