Question

Find the value of k for which the equation x- 2y= 8 and kx + 6y =10 represent parallel lines​

Answer 1

Step-by-step explanation:

For a system of equations representing parallel lines means they do not intersect, hence, have no solutions.

For a system of equations a

1

x+b

1

y+c

1

=0;a

2

x+b

2

y+c

2

=0 to have no solution, the condition to be satisfied is

a

2

a

1

=

b

2

b

1



=

c

2

c

1

⇒

4

k

=

−6

−3



=

150

6

∴ For k=2, the given system of equation has no solution, hence represent parallel lines.