Question

8f a/b=c/d then show that 5a-3c/5b-3d=7a-2c/7b-2d​

Answer 1

Answer:

use, componendo and dividendo

Step-by-step explanation:

Given,

a/b = c/d

let,

a/b = c/d = k, then

a = bk, c = dk

Now,

LHS = (5a-3c)/(5b-3d) putting value

= (5bk-3dk)/(5b-3d) = k(5b-3d)/(5b-3d) = k.

Now,

RHS = (7a-2c)/(7b-2d) putting value

= (7bk-2dk)/(7b-2d) = k(7b-2d)/(7b-2d) = k.

so,

LHS = RHS.