Q11 of 62 Page 25

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, a1 = , b1 = - 2, c1 = - 6;


And a2 = 3, b2 = - 6, c2 = 0;


a1 /a2 = 1/3


b1 /b2 = - 2/ - 6 = 1/3


here a1/a2 = b1/b2 c1/c2 (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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