By the graphical method, find whether the following pair of equations are consistent or not. If consistent, solve them.

x-2y = 6, 3x-6y = 0

Given pair of equations is

x -2y = 6 …(i)

and 3x-6y = 0 …(ii)

On comparing with ax + by + c = 0

we get

Here, a_{1} = , b_{1} = - 2, c_{1} = - 6;

And a_{2} = 3, b_{2} = - 6, c_{2} = 0;

a_{1} /a_{2} = 1/3

b_{1} /b_{2} = - 2/ - 6 = 1/3

here a_{1}/a_{2} = b_{1}/b_{2} c_{1}/c_{2} (parallel lines).

Hence, the lines represented by the given equations are parallel. Therefore, it has no solution. So, the given pair of lines is inconsistent.

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