Question
Solve for \( u \). \[ -\frac{4}{5}=u-6 \] Simplify your answer as much as possible.
Ask by Vega Collins. in the United States
Jan 30,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( u = \frac{26}{5} \)
Solution
To solve for \( u \) in the equation:
\[
-\frac{4}{5} = u - 6
\]
**Step 1: Isolate \( u \)**
Add 6 to both sides of the equation to isolate \( u \):
\[
u = -\frac{4}{5} + 6
\]
**Step 2: Combine the Terms**
Convert 6 to a fraction with a denominator of 5 to combine the terms:
\[
6 = \frac{30}{5}
\]
Now, add the fractions:
\[
u = -\frac{4}{5} + \frac{30}{5} = \frac{-4 + 30}{5} = \frac{26}{5}
\]
**Final Answer:**
\[
u = \frac{26}{5}
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
To solve for \( u \), start by isolating \( u \) on one side of the equation. You can do this by adding 6 to both sides: \[ -\frac{4}{5} + 6 = u \] Next, convert 6 into a fraction with a denominator of 5 to make the addition easier: \[ 6 = \frac{30}{5} \] Now, substitute this into the equation: \[ -\frac{4}{5} + \frac{30}{5} = u \] Combine the fractions: \[ \frac{-4 + 30}{5} = u \] This simplifies to: \[ \frac{26}{5} = u \] Thus, the solution for \( u \) is: \[ u = \frac{26}{5} \]
