(Q.33). Check whether the following equations are consistent or inconsistent. Solve them graphically

x – y = 8

3x – 3y = 16

Given pair of equations x – y = 8 and 3x – 3y = 16

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

Thus the equations are inconsistent.

∴ They represent parallel lines and have no solution.

x - y = 8
x y (x,y)
0 - (0,-)
8 (8,)
4 - (4,-)
3x - 3y = 16
x y (x,y)
2
-
 		(2,
-
 )
3
-
 		(3,
-
 )