Question

Find the value of k for which the system of equation 3 X + 2 K Y= 2 and 2 X + 5 Y + 1 = 0 are parallel.

Answer 1

Answer:Condition for the lines to be parallel is

a

2

​

a

1

​

​

=

b

2

​

b

1

​

​



=

c

2

​

c

1

​

​

Here the equations are

3x+2ky=2 and 2x+5y+1=0

So, a

1

​

=3,b

1

​

=2k,c

1

​

=−2 and a

2

​

=2,b

2

​

=5,c

2

​

=1

∴

a

2

​

a

1

​

​

=

2

3

​

,

b

2

​

b

1

​

​

=

5

2k

​

and

c

2

​

c

1

​

​

=

1

−2

​

=−2

∴

5

2k

​

=

2

3

​

∴k=

4

15

​

Step-by-step explanation: