1 Answer

Jkelley · Answer 1 · 2022-06-25T06:57:32+0000

$\underline{ \bf \huge Appropriate \: Question :-}$

$\: (3x)/(10) = 6$

$\underline{\huge\bf \: R equired \: Solution:-}$

We need to find the value of
$\it x$ on the Given equation.

$\underline{\bf \: Multiply \: both \: sides \: by \: 10 :}$

$: \implies \tt \: (3x)/(10) * 10 = 6 * 10$

On cancelling 10 and 10,1 is the result, which equals to 3x/1, that has no value of 1 as the denominator is 1.

$: \implies \tt \frac{3x}{ \cancel{10}} * \cancel{ 10} = 6 * 10$

On multiplying,60 is the result.

$: \implies \tt \: {3x} = 60$

$\underline{\bf \: Divide \: both \: sides \: by \: 3 : }$

$: \implies \tt \: (3x)/(3) = (60)/(3)$

Use cancellation method to cancel 3 and 3,and then cancel 60 and 3, which results to 20.

$: \implies \tt \: {}^(1) ( \cancel3x)/( \cancel3) = \frac{ \cancel{60}}{ \cancel3} {}^(20)$

$: \implies \tt \: 1x = 20$

$: \implies \tt \: x = 20$

$\qquad \boxed{\boxed{\sf x = 20}}$

Henceforth, the value of x is 20.

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I hope this helps !

Please let me know if you have any questions.

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