Question

2n-3/2n-1 = 3n-1/3n+1​

Answer 1

Please check the attachment below

Answer 2

$\large\sf\underline{Given}$

• $\sf\:\frac{2n-3}{2n-1}=\frac{3n-1}{3n+1}$

$\large\sf\underline{To\:find:-}$

• $\sf\:Value\:of\:n$

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

$\sf\:\frac{2n-3}{2n-1}=\frac{3n-1}{3n+1}$

Cross multiplying

$↦\sf\:(2n-3)(3n+1)=(2n-1)(3n-1)$

$\sf↦\:6n^{2}+2n-9n-3=6n^{2}-2n-3n+1$

$\sf↦\:6n^{2}-6n^{2}+2n-9n-3=-2n-3n+1$

$\sf↦\:-7n-3=-5n+1$

$\sf↦\:-7n+5n=3+1$

$\sf↦\:-2n=4$

$\sf↦\:n=\frac{4}{-2}$

$\tt\purple{↦\:x=-2}$

• Thnku :)