The solution set of 2 over x plus 3 over y equals 2 space & space 3 over x plus 4 over y equals 20 space is 
  1. (4,-2)
  2. (negative 1 half comma 1 fourth )
  3. (2,-4)
  4.  left parenthesis 1 fourth comma negative 1 half right parenthesis           

Asked by Turjo Bhattacharjee | 3rd Aug, 2015, 07:40: PM

Expert Answer:

P l e a s e space c h e c k space t h e space q u e s t i o n colon Q u e s t i o n space s h o u l d space b e colon 2 over x plus 3 over y equals 2 space a n d 3 over x plus 4 over y equals 4 S o l u t i o n colon C o n s i d e r space t h e space g i v e n space s e t space o f space e q u a t i o n s colon 2 over x plus 3 over y equals 2 space... left parenthesis 1 right parenthesis a n d 3 over x plus 4 over y equals 4 space... left parenthesis 2 right parenthesis S u b s t i t u t i n g space 1 over x equals u space a n d space 1 over y equals v comma space w e space h a v e comma 2 u plus 3 v equals 2... left parenthesis 3 right parenthesis 3 u plus 4 v equals 4... left parenthesis 4 right parenthesis  M u l t i p l y i n g space e q u a t i o n space left parenthesis 3 right parenthesis space b y space 3 space a n d space a n d space e q u a t i o n space left parenthesis 4 right parenthesis space b y space 2 comma space w e space h a v e comma 6 u plus 9 v equals 6... left parenthesis 5 right parenthesis 6 u plus 8 v equals 8... left parenthesis 6 right parenthesis  S u b t r a c t i n g space e q u a t i o n space left parenthesis 6 right parenthesis space f r o m space left parenthesis 5 right parenthesis comma space w e space h a v e comma v equals negative 2 rightwards double arrow 1 over y equals negative 2 rightwards double arrow y equals fraction numerator negative 1 over denominator 2 end fraction S u b s t i t u t i n g space v equals negative 2 space i n space e q u a t i o n space left parenthesis 3 right parenthesis comma space w e space h a v e comma 2 u plus 3 open parentheses negative 2 close parentheses equals 2 rightwards double arrow 2 u minus 6 equals 2 rightwards double arrow 2 u equals 2 plus 6 rightwards double arrow 2 u equals 8 rightwards double arrow u equals 8 over 2 rightwards double arrow u equals 4 rightwards double arrow 1 over x equals 4 rightwards double arrow x equals 1 fourth T h e r e f o r e comma space t h e space s o l u t i o n space s e t space equals open curly brackets 1 fourth comma fraction numerator negative 1 over denominator 2 end fraction close curly brackets

Answered by Vimala Ramamurthy | 4th Aug, 2015, 09:08: AM