Question

Solve the equation
$\frac{x}{5} + 11 = \frac{1}{15}$
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Answer 1

Answer:

x=-164/3

Step-by-step explanation:

okay na!

the value of x is-164/3.

Answer 2

Answer:

✏️Solution :

We have,

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

[ Subtracting 11 from both sides ] we get,

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

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$\implies \frac{x}{5} = \frac{1}{15} - 11$

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$\implies \frac{x}{5} = \frac{1 - 165}{15}$

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$\implies \frac{x}{5} = - \frac{164}{15}$

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$\implies5 \times \frac{x}{5} = 5 \times - \frac{164}{15}$

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$\bf{ \implies \: x = - \frac{164}{3}}$

Thus, $\bf{ \implies \: x = - \frac{164}{3}}$ is the Solution of the given equation.

Check :

Substituting $\bf{ \implies \: x = - \frac{164}{3}}$ in the given equation, We get

L. H. S = ↓

$\implies \frac{x}{5} + 11 \red{=} \frac{ - 164}{3} \times \frac{1}{5} + 11$

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$\implies \frac{ - 164}{15} + 11$

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$\implies \frac{ - 164 + 165}{15} = \bf{\frac{1}{15} }$

And:

R. H. S $= \frac{1}{15}$

∴ L. H. S = R. H. S for X = $= \frac{ - 164}{3}$

Hence, $\pink{ \bf{x = \frac{ - 164}{3} }}$ is the Solution of the given equation.

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