Question

Solve the following pair and find out whether the following pair of linear equations are consistent or inconsistent?
(i) 2x-3y=6,x+y=1
(ii) x-3y=3,3x-9y=2 ​

Answer 1

Let

a

1

b

1

c

1

3x+

2y−

5

and

a

2

b

2

c

2

2x−

3y−

7

So, here

a

1

3; b

1

=

2; c

1

=

−5; a

2

=

2; b

2

=

−3; c

2

=

−7

⇒

a

2

a

1

=

2

3

⇒

b

2

b

1

=

3

−2

⇒

a

2

a

1

=

b

2

b

1

Hence the system of equations has unique solution.

Thus the pair of equations are consistent