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.