Question

Find whether the following pair of linear equations have unique solution, infinitely many solutions or no solution. 9x-5y+6=0,
7x+6y-9=0

Answer 1

Answer:

5x−4y+8=0⇒a

1

=5,b

1

=−4,c

1

=8

7x+6y−9=0⇒a

2

=7,b

2

=6,c

2

=−9

∴

a

2

a

1

=

7

5

6

−4

=

3

−2

c

2

c

1

=

−9

8

=

a

2

a

1



=

b

2

b

1

Therefore we have a unique solution