Show that each one of the following systems of equations is inconsistent.

4x – 2y = 3;


6x – 3y = 5.



To prove: Set of given lines are inconsistent.


Given set of lines are : -


4x – 2y = 3


6x – 3y = 5


Converting the following equations in matrix form,


AX = B



4R2 – 6R1



Again converting into equation form, we get


4x – 2y = 3


0x + 0y = 2


0 = 2


which is not true


4x – 2y = 3


6x – 3y = 5 are inconsistent.


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