Write the value of k for which the system of equations $3 x + k y = 0, 2 x - y = 0$ has a unique solution.

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Solution

$c o n d i t i o n space f o r space u n i q u e space s o l u t i o n fraction numerator a 1 over denominator a 2 end fraction not equal to fraction numerator b 1 over denominator b 2 end fraction$

putting values

$3 over 2 not equal to fraction numerator k over denominator negative 1 end fraction k not equal to fraction numerator negative 3 over denominator 2 end fraction h e n c e space f o r space u n i q u e space s o l u t i o n space k space c a n space h a v e space a l l space r e a l space v a l u e s space e x c e p t space k equals 3 over 2$

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