Question
ii. Hence, solve \( \frac{3 x}{8}-\frac{x}{4}=5 \)
Ask by Fowler Li. in Australia
Feb 04,2025
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Answer
\( x=40 \)
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The Deep Dive
To solve the equation \( \frac{3x}{8} - \frac{x}{4} = 5 \), first, find a common denominator for the fractions, which is 8. Rewrite \( \frac{x}{4} \) as \( \frac{2x}{8} \). Now the equation looks like this: \[ \frac{3x}{8} - \frac{2x}{8} = 5 \] Combine the fractions on the left side: \[ \frac{3x - 2x}{8} = 5 \] This simplifies to: \[ \frac{x}{8} = 5 \] Next, to isolate \( x \), multiply both sides by 8: \[ x = 40 \] So the solution to the equation is \( x = 40 \).