Question

9. If the equations 2x + 3y - 5 = 0 and px - 6y -8 = 0 have a unique solution, find the value of p.​

Answer 1

Answer:

Step-by-step explanation:

when two lines are intersecting then they will have unique solution

so the condition for intersecting lines are

(a1/a2)#(b1/b2)

(2/p)#(3/-6)

3p#-12

p#-12/3

p#-4

that means other than -4 for any value of p, those two lines will intersect and they will have unique solution

Answer 2

Step-by-step explanation:

Correct option is

C

4

The pair of equations has a unique solution if:

a

2

a

1



=

b

2

b

1

For the given pair of equations: 2x+3y+5=0 and px+6y+8=0;

a

1

=2;a

2

=p;b

1

=3;b

2

=6

For

p

2



=

6

3

⟶p



=4

Hence, the given pair of equations has a unique solution for all values of p except $$4$$.