(Q.32). Check whether the following equations are consistent or inconsistent. Solve them graphically

x + y = 5

2x + 2y = 10

Given pair of equations x + y = 5 and 2x + 2y = 10

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

Thus the equations are consistent and have infinitely many solutions.

∴ The given equations have infinitely many solutions.

x + y = 5
x y (x,y)
0 (0,)
5 (5,)
2x + 2y = 10
x y (x,y)
0 (0,)
5 (5,)