how to find out consitent or incosistent : 3/2x +5/3y=7 and 9x-10y=14 
solved this equation

Asked by  | 3rd Jun, 2014, 11:59: AM

Expert Answer:

C o n s i d e r space t h e space s y s t e m space o f space e q u a t i o n s : 3 over 2 x plus 5 over 3 y equals 7 9 x minus 10 y equals 14 C o m p a r e space t h e s e space e q u a t i o n s comma space w i t h space t h e space g e n e r a l space e q u a t i o n s a subscript 1 x plus b subscript 1 y plus c subscript 1 equals 0 a subscript 2 x plus b subscript 2 y plus c subscript 2 equals 0 T h u s comma space w e space h a v e comma a subscript 1 over a subscript 2 equals fraction numerator begin display style 3 over 2 end style over denominator 9 end fraction equals 1 over 6 comma space b subscript 1 over b subscript 2 equals fraction numerator begin display style 5 over 3 end style over denominator minus 10 end fraction equals minus 1 over 6 space a n d space c subscript 1 over c subscript 2 equals 7 over 14 equals 1 half. S o space w e space g e t comma a subscript 1 over a subscript 2 not equal to b subscript 1 over b subscript 2 H e n c e space t h e space s y s t e m space i s space c o n s i s t e n t.

Answered by Vimala Ramamurthy | 3rd Jun, 2014, 02:30: PM

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