Question

if a/b=c/d then prove 2a+5b/2c+5d=4a-7b)4c-7d​

Answer 1

a/b=c/d

ad=bc...equation 1

2a+5b/2c+5d=4a-7b/4c-7d

(2a+5b)(4c-7d)=(2c+5d)(4a-7b)

8ac-14ad+20bc-35bd=8ac-14bc+20ad-35bd

-14ad+20bc=20ad-14bc

20bc+14bc=20ad+14ad

34bc=34ad

bc=ad...equation 1

Hence proved