(Q.12). Check whether the given pair of equations represent intersecting, parallel or coincident lines. Find the solution if the equations are consistent.

2x + y - 5 = 0

3x - 2y - 4 = 0

a1
a2
 =
b1
b2
 =
-
c1
c2
 =
-
-
Since
a1
a2
 ≠
b1
b2
 , therefore they are intersecting lines and hence, it is a consistent pair of linear equation.
For the equation 2x + y = 5
x y = 5 - 2x (x,y)
0 y = 5 - 2() = (0,)
1 y = 5 - 2() = (1,)
2 y = 5 - 2() = (2,)
3 y = 5 - 2() = - (3,-)
4 y = 5 - 2() = - (4,-)
For the equation 3x - 2y = 4
x y =
4 - 3x
-2
 		(x,y)
0 y =
4 - 3()
-2
 = - 		(0,-)
2 y =
4 - 3()
-2
 = 		(2,)
4 y =
4 - 3()
-2
 = 		(4,)