Question

check whether the following equations are consistent or inconsistent. x-2y=4
2x -y = c​

Answer 1

Answer:

2x + y - 6 = 0 and 4x - 2y -4 = 0

a 2

a

1

=

4

2

=

2

1

,

b

2

b

1

=

−2

1

c

2

c

1

=

−4

−6

=

2

3

∴

a

2

a

1



=

b

2

b

1

∴ the linear equation are consistent

∴ They have infinity solutions.

2x + y = 6 4x - 2y = 4

x y (x ,y) x y (x,y)

3 0 (0,6) 0 2 (0,-2)