Solve:$ \frac{6 y-5}{2 y}=\frac{7}{9} $

Academic Mathematics NCERT Class 8

Given:

\( \frac{6 y-5}{2 y}=\frac{7}{9} \)

To do:

We have to find the value of $y$.
Solution:
$\frac{6 y-5}{2 y}=\frac{7}{9}$

$\Rightarrow 9(6y-5)=7(2y)$ (On cross multiplication)

$\Rightarrow 54y-45=14y$

$\Rightarrow 54y-14y=45$

$\Rightarrow 40y=45$

$\Rightarrow y=\frac{45}{40}$

$\Rightarrow y=\frac{9}{8}$

The value of $y$ is $\frac{9}{8}$.

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Updated on: 10-Oct-2022

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