Question
Solve for \( y \). \[ \frac{4}{y}=-6 \] Simplify your answer as much as possible.
Ask by Burns Hampton. in the United States
Feb 19,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( y = -\frac{2}{3} \)
Solution
Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.
Unlock Answered by UpStudy AI and reviewed by a Professional Tutor
Like
Extra Insights
To solve for \( y \), we start with the equation: \[ \frac{4}{y} = -6 \] Next, we can multiply both sides of the equation by \( y \) to eliminate the fraction, assuming \( y \neq 0 \): \[ 4 = -6y \] Now, to isolate \( y \), divide both sides by -6: \[ y = \frac{4}{-6} \] This simplifies to: \[ y = -\frac{2}{3} \] Therefore, the solution for \( y \) is: \[ \boxed{-\frac{2}{3}} \]
