Question
\begin{tabular}{l} Solve for \( u \). \\ \( \qquad \frac{4 u}{7}=56 \) \\ Simplify your answer as much as possible. \\ \begin{tabular}{|l|}\hline\( u=\square \) \\ \hline\end{tabular} \\ \hline\end{tabular}
Ask by Williams Macdonald. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( u = 98 \)
Solution
Certainly! Let's solve for \( u \) in the equation:
\[
\frac{4u}{7} = 56
\]
**Step 1:** Multiply both sides of the equation by 7 to eliminate the denominator.
\[
4u = 56 \times 7
\]
\[
4u = 392
\]
**Step 2:** Divide both sides by 4 to solve for \( u \).
\[
u = \frac{392}{4}
\]
\[
u = 98
\]
**Final Answer:**
\[
\begin{tabular}{|l|}
\hline
\( u = 98 \) \\
\hline
\end{tabular}
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
To solve the equation \( \frac{4 u}{7} = 56 \), you can start by eliminating the fraction. Multiply both sides by 7 to get: \[ 4u = 56 \times 7 \] Calculating \( 56 \times 7 \) gives you \( 392 \). Now you have: \[ 4u = 392 \] Next, divide both sides by 4 to isolate \( u \): \[ u = \frac{392}{4} \] Doing the division, you find that: \[ u = 98 \] So, your final answer is: \[ u = 98 \]
