Question

Answer the question in the attachment.

Answer 1

Step-by-step explanation:

Ans: k = 38

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Answer 2

$\longrightarrow{\green{}}$ $\frac{11}{6} = \frac{k - 5}{18}$

$\longrightarrow{\green{}}$ $18 \times 11 = 6(k - 5)$

$\longrightarrow{\green{}}$ $198 = 6k - 30$

$\longrightarrow{\green{}}$ $6k = 198 + 30$

$\longrightarrow{\green{}}$ $6k =228$

$\longrightarrow{\green{}}$ $k = \frac{228}{6}$

$\longrightarrow{\green{}}$ $k = 38$

Therefore, the value of $k$ is $\boxed{ 38 }$.

To verify:

$\longrightarrow{\green{}}$ $\frac{11}{6} = \frac{38 - 5}{18}$

$\longrightarrow{\green{}}$ $\frac{11}{6} = \frac{33}{18}$

$\longrightarrow{\green{}}$ $\frac{11}{6} = \frac{11}{6}$

$\longrightarrow{\green{}}$ L. H. S. = R. H. S.

Hence verified.