Question

14/9+x= 3/7
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Answer 1

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Answer 2

Answer:

$\frac{14}{9 + x} = \frac{3}{7} \\ 14 \times 7 = 3(9 + x) \\ 98 = 27 + 3x \\ 98 - 27 = 3x \\ \large{ \boxed{ \underline{ \underline{ \frac{71}{3} }} = x }} \\ \\ \large{ \underline{Let's \: \: verify} :} \\ \frac{14}{9 + x} = \frac{3}{7} \\ \frac{14}{9 + \frac{71}{3} } = \frac{3}{7} \\ \frac{14}{ \frac{27 + 71}{3} } = \frac{3}{7} \\ \frac{14}{ \frac{98}{3} } = \frac{3}{7} \\ 14 \times 7 = \frac{98}{3} \times 3 \\ \large{ \underline{ \underline{98 = 98}}} \\ \\ Hence, \: \: Verified$