x / a - y / b = a-b ; ax + by = a³ + b³

Asked by Yash | 18th Aug, 2015, 11:11: PM

Expert Answer:

C o n s i d e r space t h e space g i v e n space e q u a t i o n s colon x over a minus y over b equals a minus b a x plus b y equals a cubed plus b cubed R e w r i t i n g space t h e space a b o v e space e q u a t i o n s comma space w e space g e t comma b x minus a y equals a b open parentheses a minus b close parentheses space space space space... left parenthesis 1 right parenthesis a x plus b y equals a cubed plus b cubed space space space space space space space space space... left parenthesis 2 right parenthesis M u l t i p l y i n g space e q u a t i o n s space left parenthesis 1 right parenthesis space b y space b space a n d space left parenthesis 2 right parenthesis space b y space a comma space w e space g e t comma b squared x minus a b y equals a b squared open parentheses a minus b close parentheses... left parenthesis 3 right parenthesis a squared x plus a b y equals a open parentheses a cubed plus b cubed close parentheses.... left parenthesis 4 right parenthesis A d d i n g space e q u a t i o n s space left parenthesis 3 right parenthesis space a n d space left parenthesis 4 right parenthesis comma space w e space h a v e comma left parenthesis a squared plus b squared right parenthesis x equals a squared b squared minus a b cubed plus a to the power of 4 plus a b cubed rightwards double arrow left parenthesis a squared plus b squared right parenthesis x equals a squared b squared plus a to the power of 4 rightwards double arrow left parenthesis a squared plus b squared right parenthesis x equals a squared left parenthesis a squared plus b squared right parenthesis rightwards double arrow x equals a squared S u b s t i t u t i n g space t h e space v a l u e space o f space x equals a squared space i n space e q u a t i o n space left parenthesis 2 right parenthesis comma space w e space h a v e comma a cross times a squared plus b y equals a cubed plus b cubed rightwards double arrow a cubed plus b y equals a cubed plus b cubed rightwards double arrow b y equals b cubed rightwards double arrow y equals b squared

Answered by Vimala Ramamurthy | 19th Aug, 2015, 03:40: PM