Question

7x supra 3y = 4 supra 3 . determinati rapoartele :

a) 2y-x supra x , b) 2x-y supra y c) 4x-y supra x

Answer 1

7x/3y=4/3 => 7x/y=4 => 7x=4y => a) y=7x/4 =>(2y-x)/x=(7x/4*2-x)/x (2y-x)/x=(7x/2-x)/x (2y-x)/x=7/2-1 (simplificăm x) (2y-x)/x= 7/2-2/2=5/2 b) x=4y/7. (2x-y)/y=(8y/7-7y/7)/y=(y/7)/y= 1/7/1=1/7 c)(4x-y)/x=(4x-7x/4)/x=4-7/4=16/4-7/4=9/4