(Q.24). By comparing the ratios
a1
a2
,
b1
b2
,
c1
c2
 find out whether the lines represented by the following pairs of linear equations intersect at a point, are parallel or are coincident.

5x – 4y + 8 = 0

7x + 6y – 9 = 0

Given: 5x – 4y + 8 = 0

7x + 6y – 9 = 0

a1
a2
 =
;
b1
b2
 =
-
;
c1
c2
 =
-
;
∴
a1
a2
 ≠
b1
b2

Hence the given pair of linear equations represents a pair of lines.