Question

find the value of x for which the system
equations have infinilēty many
Sol:
n-ky= 2, 3 x + 6 Y = 16​

Answer 1

Step-by-step explanation:

The system of equations consist equations of two straight lines.

So, the system have infinite no. of solution if the lines are coincident.

Two lines ax+by=c and px+qy=r are coincident if,

p

a

=

q

b

=

r

c

For the given equations,

3

1

=

6

−k

=

6

2

3

1

=

6

−k

=

3

1

⇒−3k=6

k=−2