Question

If a pair of linear equations 3x + 2Ky = 2 and 2x + 5y + 1 = 0 are parallel to

each other, then the value of ‘K’​

Answer 1

Answer:

Suppose that we have to parallel lines a

1

x+b

1

y+c

1

=0 & a

2

x+b

2

y+c

2

=0 then,ratio of coefficient of x and y are equal i.e.

a

2

a

1

=

b

2

b

1

.

Now, according to given equations

3x+2ky=2

2x+5y+1=0

compairing coeffient of x& y and applying rule,

2

3

=

5

2k

⇒4k=15

So value of k=

4

15

.