Question

$\frac{9n}{7 - 6n} = 15$
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Answer 1

$\huge\mathbb{SOLUTION:-}$

$\sf\underline{\blue{\:\:\:\:Given:-\:\:\:\:\:}}$

$\sf \dfrac{9n}{7 - 6n} = 15$

$\sf\underline{\red{\:\:\:\:To\:Find:-\:\:\:\:\:}}$

The value of n

$\sf\underline{\pink{\:\:\:\: Solution:-\:\:\:\:\:}}$

$\sf:\implies \dfrac{9n}{7-6n}=15\\ \\ \sf :\implies 9n=15(7-6n)\\ \\ \sf:\implies 9n= 105-90n\\ \\ \sf:\implies 9n+90n=105\\ \\ \sf:\implies 99n=105\\ \\ \sf:\implies n=\cancel{\dfrac{105}{99}}=\dfrac{35}{33}$

$\underline{\fbox{\sf{Value\:of\:n\:is \dfrac{35}{33}}}}$

Answer 2

The value of "n" is " $\frac{35}{33}$". Further explanation is given below.

Step-by-step explanation:

Given equation is:

⇒  $\frac{9n}{7-6n} = 15$

On applying cross multiplication, we get

⇒  9n = 15(7-6n)

⇒  9n = 105-90n

On moving "-90n" toh the left side, we get

⇒  9n+90n = 105

⇒  99n = 105

⇒  n = $\frac{105}{99}$

⇒  n = $\frac{35}{33}$

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