Two straight paths are represented by the equations and Check whether the paths cross each other or not.


Given linear equations are

x - 3y - 2 = 0 …(i)


and -2x + 6y - 5 = 0 …(ii)


On comparing with ax + by c=0, we get


Here, a1 =1, b1 =-3, c1 =- 2;


And a2 = -2, b2 =6, c2 =- 5;





i.e., a1/a2 = b1/b2 c1/c2 [parallel lines]


Hence, two straight paths represented by the given equations never cross each other, because they are parallel to each other.


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