Question
Solve for \( u \). \[ \frac{3}{4}=\frac{u+7}{16} \] Simplify your answer as much as possible. \( u=\square \)
Ask by Frank Romero. in the United States
Jan 24,2025
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Answer
\( u = 5 \)
Solution
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Mind Expander
To solve for \( u \), we can start by cross-multiplying to eliminate the fractions: \[ 3 \cdot 16 = 4 \cdot (u + 7) \] This simplifies to: \[ 48 = 4u + 28 \] Next, we can isolate \( 4u \) by subtracting 28 from both sides: \[ 48 - 28 = 4u \] This gives us: \[ 20 = 4u \] Now, we can solve for \( u \) by dividing both sides by 4: \[ u = \frac{20}{4} = 5 \] So, the value of \( u \) is: \( u=5 \)