Question

find weather the lines represented by 2x+y=3 and 4x+2y=6are parallel, coincident or intersecting

Answer 1

2x+y=3
4x+2y=6
here a1/a2=b1/b2= c1/c2
2/4=1/2 =1/2
therefore these lines are coincident

Answer 2

2x+y=3, 4x+2y=6
Where a1=2 , b1=1 , c1=3
a2=4, b2=2 , c2=6

Now a1/a2=b1/b2=c1/c2
Put these value
2/4=1/2=3/6

We find 1/2=1/2=1/2
So it is coincident