Show that each one of the following systems of equations is inconsistent.
6x + 4y = 5;
9x + 6y = 8.
To prove: Set of given lines are inconsistent.
Given set of lines are : -
6x + 4y = 5
9x + 6y = 8
Converting the following equations in matrix form,
AX = B
2R2 – 3R1
Again converting into equation form, we get
6x + 4y = 5
0x + 0y = 3
∴ 0 = 3
which is not true
∴ 6x + 4y = 5
9x + 6y = 8 are inconsistent.
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