Question

Find the value of 'k', so that the pair of equations 2x + 5y-7= 0 and kx-10y + 14 = 0 represent coincident lines. ​

Answer 1

Answer:

the required value of ' k ' is -4 such that the given pair of equations represent coincide lines .

Step-by-step explanation:

If the given lines 2x + 5y-7= 0 and kx-10y + 14 = 0 coinciding to each other then there could be no intercept difference between them.

Now,

2x + 5y-7= 0 → (a)

kx-10y + 14 = 0 → (b)

multiplying (a)  by -2 we get ,

-4x -10y +14 = 0 →(c)

now (b) - (c) we get ,

k x + 4x = 0

⇒ k = -4