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solve x and y :
 
2x/3 + 3/y = 13 
5/x-4/y = -2
 
 

Asked by allina 30th May 2016, 11:30 AM
Answered by 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 s comma
2 over x plus 3 over y equals 13 space space space... left parenthesis 1 right parenthesis
5 over x minus 4 over y equals negative 2 space space space... left parenthesis 2 right parenthesis
S u b s t i t u t i n g space t h e space v a l u e s 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 13 space space space space... left parenthesis 3 right parenthesis
5 u minus 4 v equals negative 2 space space space... left parenthesis 4 right parenthesis
M u l t i p l y i n g space t h e space e q u a t i o n space left parenthesis 3 right parenthesis space b y space 4 space a n d space e q u a t i o n space left parenthesis 4 right parenthesis space b y space 3 comma space w e space g e t comma
8 u plus 12 v equals 52 space space space... left parenthesis 5 right parenthesis
15 u minus 12 v equals negative 6 space space space... left parenthesis 6 right parenthesis
A d d i n g space t h e space e q u a t i o n s space left parenthesis 5 right parenthesis space a n d space left parenthesis 6 right parenthesis comma space w e space h a v e comma
23 u equals 46
rightwards double arrow u equals 46 over 23 equals 2
S u b s t i t u t i n g space t h e space v a l u e space u equals 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 cross times 2 plus 3 cross times v equals 13
rightwards double arrow 4 plus 3 cross times v equals 13
rightwards double arrow 3 cross times v equals 13 minus 4
rightwards double arrow 3 cross times v equals 9
rightwards double arrow v equals 9 over 3
rightwards double arrow v equals 3
W h e n space u equals 2 comma space x equals 1 over u equals 1 half
W h e n space v equals 3 comma space y equals 1 over v equals 1 third

Y o u r space q u e s t i o n space i s space n o t space c o r r e c t. space P l e a s e space c h e c k.
Answered by Expert 30th May 2016, 3:57 PM
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