Question

$\frac{x-5}{3}= \frac{x-3}{5}$
​

Answer 1

5(x−3)=3(x+2)⇒5x−15=3x+6⇒2x=21⇒x=

2

21

Answer 2

$\bold {\frac{x-5}{3}= \frac{x-3}{5} }</p><p>$

$\bold{⇒ 5×(x−5)=3(x−3)}$

$⇒ 5x−25=3x−9$

$⇒ 5x−3x=−9+25$

$⇒ 2x=16$

$⇒ x= \frac{16}{2} = 8$

$\mathtt{To \: check:}$

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

$⇒\frac{8-5}{3}= \frac{8-3}{5}$

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

$\mathtt{⇒ 1=1} </p><p></p><p>\mathtt{L.H.S. = R. H. S.}</p><p></p><p>$

${ \underline{ \mathtt{ \red{Therefore, it \: is \: correct.}}}}$