without drawing the graphs state whether the following pair of linear equation will represent intersecting lines, coincident lines or parallel lines, 6x-3y+10=0 and 2x-y+9=0. justify your answer.
we have, 6x-3y+10=0 and
2x-y+9=0
here a1=6 ,b1=-3,c1=10
a2=2,b2=-1,c2=9
a1/a2=6/2=3/1=3
b1/b2=-3/-1=3/1=3
c1/c2=10/9
a1/a2 equal to b1/b2 not equal to c1/c2
therefore it is a parallel line {inconsistent )
2x-y+9=0
here a1=6 ,b1=-3,c1=10
a2=2,b2=-1,c2=9
a1/a2=6/2=3/1=3
b1/b2=-3/-1=3/1=3
c1/c2=10/9
a1/a2 equal to b1/b2 not equal to c1/c2
therefore it is a parallel line {inconsistent )