Question

check whether given pair of lines is consistent or not ,3x+8y+7=0 , 7x-6y-9=0​

Answer 1

$\huge\fcolorbox{red}{pink}{ANSWER}$

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.

Our system is consistent.