Question

if the lines 4x+ky=1 and 6x-10y=14 has unique solution then find the value of x​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Given lines are 4x+ky=1 and 6x-10y=14

They can be written as

4x+ky-1=0

a1=4

b1=k

C1=-1

and 6x-10y=14

=>6x-10y-14=0

a2=6

b2=-10

C2=-14

If the given lines have an unique solution then

a1/a2≠b1/b2

=>4/6≠k/-10

=>2/3≠-k/10

=>-3k≠20

=>k≠-20/3

except the value of k is -20/3 the given lines are interesting lines with an unique solution.