(Q.35). Check whether the following equations are consistent or inconsistent. Solve them graphically

2x – 2y – 2 = 0

4x – 4y – 5 = 0

Given pair of equations 2x – 2y – 2 = 0 and 4x – 4y – 5 = 0

a1
a2
 =
=
;
b1
b2
 =
-
-
 =
1
;
c1
c2
 =
-
-
 =
∴
a1
a2
 =
b1
b2
 ≠
b1
b2

Thus the equations are inconsistent.

∴ They represent parallel lines and have no solution.

2x - 2y - 2 = 0
x y (x,y)
0 - (0,-)
1 (1,)
4x - 4y - 5 = 0
x y (x,y)
2
(2,
)
5
4
 		(
5
4
 ,)