Question

Solve it please and Verification. is needed
$\frac{x}{5} \: + \: 11 \: = \: \frac{1}{15}$
​

Answer 1

$\large\underline{ \underline{ \sf \maltese{ \: Question:- }}}$

$\frac{x}{5} \: + \: 11 \: = \: \frac{1}{15}$

• Solve for x and verify it

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$\large\underline{ \underline{ \sf \maltese{ \: Solution:- }}}$

$\begin{gathered}\begin{gathered}\begin{gathered}: \implies \underline\blue{ \boxed{\displaystyle \sf \bold{\:\frac{x}{5} \: + \: 11 \: = \: \frac{1}{15} }} }\\ \\\end{gathered}\end{gathered}\end{gathered}$

$\qquad \quad {:} \longrightarrow \sf{\sf{\frac{x}{5} \: + \: 11 \: = \: \frac{1}{15} }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ \frac{x}{5} \: = \: \frac{1}{15} \: - \: 11 }}$

$\qquad \quad {:}\longrightarrow\sf{\sf{ \frac{x}{5} \: = \: \frac{1 \: - \: 165}{15} }}$

$\qquad \quad {:}\longrightarrow\sf{\sf{ \frac{x}{5} \: = \: - \frac{164}{15} }}$

$\qquad \quad {:}\longrightarrow\sf{\sf{x \: = \: - \frac{164}{ \cancel{15}} \: \times \: \cancel{5} }}$

$\qquad\quad {:} \longrightarrow \underline \red{\boxed{\sf{x \: = \: - \frac{164}{3} }}}$

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$\large\underline{ \underline{ \sf \maltese{ \: Verification:- }}}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \:\frac{x}{5} \: + \: 11 \: = \: \frac{1}{15} \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \:- \frac{164}{3} \: \times \: \frac{1}{5} \: + \: 11 \: = \: \frac{1}{15} \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}: \implies \displaystyle \sf \: \frac{ - 164 \: + \: 165}{15} \: = \: \frac{1}{15} \\ \\ \\\end{gathered}\end{gathered}$

$\qquad\quad {:} \longrightarrow \underline \red{\boxed{\sf{ \:\frac{1}{15} = \: \frac{1}{15} }}}$

Hence, Proved

$\begin{gathered}\begin{gathered}\qquad \therefore\: \sf{ Value \:of \: x= \underline {\underline{ x \: = \: - \frac{164}{3} }}}\\\end{gathered}\end{gathered}$

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