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.