Question
Solve for \( y \). \[ \frac{5}{y-2}=6 \] Simplify your answer as much as possible \( y=\square \)
Ask by Medina Garrett. in the United States
Feb 04,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( y = \frac{17}{6} \)
Solution
To solve the equation:
\[
\frac{5}{y - 2} = 6
\]
follow these steps:
1. **Multiply both sides by \( y - 2 \)** to eliminate the denominator:
\[
5 = 6(y - 2)
\]
2. **Expand the right side**:
\[
5 = 6y - 12
\]
3. **Add 12 to both sides** to isolate the term with \( y \):
\[
17 = 6y
\]
4. **Divide both sides by 6** to solve for \( y \):
\[
y = \frac{17}{6}
\]
So, the simplified solution is:
\[
y = \frac{17}{6}
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
To solve for \( y \), start by eliminating the fraction. Multiply both sides of the equation by \( y - 2 \): \[ 5 = 6(y - 2) \] Now, distribute the 6 on the right side: \[ 5 = 6y - 12 \] Next, isolate \( 6y \) by adding 12 to both sides: \[ 5 + 12 = 6y \] This simplifies to: \[ 17 = 6y \] Now, divide both sides by 6 to solve for \( y \): \[ y = \frac{17}{6} \] So the simplified answer is \( y = \frac{17}{6} \).
