if 2a-3b+c =0 then the family of lines ax+by+c=0 are always concurrent at a point?

the family of lines is ax+by+c=0 ............(1)
the given condition is 2a-3b+c=0 .....(2)
therefore x =2 and y = -3 satisfies the family of lines.
thus the given lines are concurrent at point (2, -3).

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