Question

if the system of equations 4x-2y =3 and kx-3y =2 has a unique solution. Find k.

Answer 1

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Answer 2

Heya !!!



4X - 2Y = 3 -------(1)


And,


KX - 3Y = 2 ---------(2)

These equations are of the form of A1X + B1Y + C1 = 0 and A2X + B2Y + C2 = 0 .


Where,


A1 = 4 , B1 = -2 and C1 = -3


And,


A2 = K , B2 = -3 and C2 = -3



For unique solution we must have,


A1/A2 not equal B1/B2


4/K not equal -2/-3



-2K not equal -12



K not equal 6




Hence,



K has all real values other than 6.



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