Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( n = 31.5 \)
Solution
Solve the equation \( \frac{2}{7}=\frac{9}{n} \).
Solve the equation by following steps:
- step0: Solve for \(n\):
\(\frac{2}{7}=\frac{9}{n}\)
- step1: Find the domain:
\(\frac{2}{7}=\frac{9}{n},n\neq 0\)
- step2: Swap the sides:
\(\frac{9}{n}=\frac{2}{7}\)
- step3: Rewrite the expression:
\(n=\frac{9\times 7}{2}\)
- step4: Evaluate:
\(n=\frac{63}{2}\)
- step5: Check if the solution is in the defined range:
\(n=\frac{63}{2},n\neq 0\)
- step6: Find the intersection:
\(n=\frac{63}{2}\)
The solution to the equation \( \frac{2}{7}=\frac{9}{n} \) is \( n = \frac{63}{2} \) or \( n = 31.5 \).
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To solve the equation \( \frac{2}{7} = \frac{9}{n} \), you can cross-multiply. This gives you \( 2n = 63 \) (since \( 7 \times 9 = 63 \)). Now, simply divide both sides by 2 to find \( n \). So, \( n = \frac{63}{2} = 31.5 \). Voila! You’ve calculated that \( n \) is 31.5, which makes both sides of the original equation equal. Math magic in action!
