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

x + 2y = 9;


2x + 4y = 7.



To prove: Set of given lines are inconsistent.


Given set of lines are : -


x + 2y = 9


2x + 4y = 7


Converting the following equations in matrix form,


AX = B



R2 – 2R1



Again converting into equation form, we get


x + 2y = 9


0x + 0y = - 11


0 = - 11


which is not true


x + 2y = 9


2x + 4y = 7 are inconsistent.


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