Question

check whether the following equations are consistent or inconsistent solve them graphically 2x- 2y-2=0 and 4x-4y-5=0​

Answer 1

Answer:

2x -2y -2 = 0 and 4x - 4y -5 =0

a

2

a

1

=

4

2

=

2

1

,

b

2

b

1

=

−4

−2

=

2

1

=

c

2

c

1

=

−5

−2

=

5

2

∴

a

2

a

1

=

b

2

b

1



=

c

2

c

1

∴ the linear equation are consistent

∴ They have infinity solutions.

2x - 2y-2 = 0 4x - 4y -5 =0

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

0 -1 (0,-1) 2

4

3