solve the following system of equation 
 
8v-3u=5uv
 
6v-5u=-2uv
 

Asked by mkv.ht | 17th May, 2015, 01:36: 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 8 v minus 3 u equals 5 u v 6 v minus 5 u equals negative 2 u v D i v i d i n g space t h e space a b o v e space e q u a t i o n s space b y space u v comma space w e space h a v e comma 8 over u minus 3 over v equals 5 6 over u minus 5 over v equals negative 2 N o w space s u b s t i t u t i n g space 1 over u equals x space a n d space 1 over v equals y T h u s comma space t h e space g i v e n space e q u a t i o n s space a r e colon 8 x minus 3 y equals 5... left parenthesis 1 right parenthesis 6 x minus 5 y equals negative 2... left parenthesis 2 right parenthesis open parentheses 1 close parentheses cross times 5 rightwards double arrow 40 x minus 15 y equals 25... left parenthesis 3 right parenthesis open parentheses 2 close parentheses cross times 3 rightwards double arrow 18 x minus 15 y equals negative 6... left parenthesis 4 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 4 right parenthesis space f r o m space left parenthesis 3 right parenthesis comma space w e space h a v e comma 40 x minus 18 x equals 25 minus open parentheses negative 6 close parentheses rightwards double arrow 22 x equals 31 rightwards double arrow x equals 31 over 22 S u b s t i t u t i n g space x equals 31 over 22 space i n space e q u a t i o n space left parenthesis 1 right parenthesis comma space w e space h a v e comma 8 cross times 31 over 22 minus 3 y equals 5 rightwards double arrow 124 over 11 minus 3 y equals 5 rightwards double arrow 3 y equals 124 over 11 minus 5 rightwards double arrow 3 y equals fraction numerator 124 minus 55 over denominator 11 end fraction rightwards double arrow 3 y equals 69 over 11 rightwards double arrow y equals 23 over 11 W e space h a v e comma space 1 over u equals x space a n d space 1 over v equals y rightwards double arrow 1 over x equals fraction numerator 1 over denominator 31 over 22 end fraction rightwards double arrow u equals 22 over 31 rightwards double arrow 1 over y equals fraction numerator 1 over denominator 23 over 11 end fraction rightwards double arrow v equals 11 over 23

Answered by Vimala Ramamurthy | 18th May, 2015, 09:51: AM