Solve the following linear equation.
$ \frac{x-5}{3}=\frac{x-3}{5} $.

AcademicMathematicsNCERTClass 8

Given:

$\frac{x-5}{3}=\frac{x-3}{5}$.

To do:

We have to solve the given linear equation.

Solution:

$\frac{x-5}{3}=\frac{x-3}{5}$

This implies,

$5(x-5) =3(x-3)$

$5(x)-5(5)=3(x)-3(3)$

$5x-25=3x-9$

$5x-3x=-9+25$

$2x=16$

$x=\frac{16}{2}$

$x=8$

The value of $x$ is $8$.

raja
Updated on 10-Oct-2022 13:47:38

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