Question

if x+2y/2y-x=k find y/x in terms of k​

Answer 1

Solution :-

(x + 2y)/(2y - x) = k

(2y + x)/(2y - x) = k

x ( 2y/x + 1 ) / x ( 2y/x - 1 ) = k

( 2y/x + 1 ) / ( 2y/x - 1 ) = k

( 2y/x + 1 ) = k ( 2y/x - 1)

2y/x + 1 = 2ky/x - k

(2y/x) ( 1 - k ) = -k - 1

2y/x = - (k + 1)/(1 - k)

2y/x = (k + 1) / (k - 1)

y/x = (k + 1) / 2(k - 1)

I hope it'll help you