Question

Determine the condition so that the pair of linear equations kx + 3y +1 = 0,
2x + y + 3 = 0 has exactly one solution
25​

Answer 1

Answer:

kx + 3y +1 = 0

2x + y +3 = 0

a1 = k, b1 = 3, c1 = 1

a1 = 2, b2 = 1, c2 = 3

So, a1/a2 ≠ b1/b2 = exactly one solution

Therefore, k/2 ≠ 3/1

k ≠ 6

So, for all values of k, except 6, the pair of linear equations have exactly one solution