Question

Find the value of k for which the given pair of linear equations has no common solution. 4x + ky = 5; 8x + 12y = 10

Answer 1

The value of k for which the given pair of linear equations has no common solution is equal to 6.

The two equations given are-

4x + ky = 5 ------(1)

8x + 12y = 10 ------(2)

For the two equations to have no common solution the lines must be parallel to eachother , in this way the lines will never intersect eachother.

The Slope of (1) = -4/k

The Slope of (2) = -2/3

=> -4/k = -2/3

=> k = 6

Answer 2

Answer:

K = 6

Step-by-step explanation:

4x + Ky = 5

8x+12y = 10

by cross multiplication

10k-60+48-8k = 0 (after cross multiplication )

2k- 12 = 0

2k = 12

k = 6