9. For what value of k the following pair of linear equation has unique solution? kx + 3y = 3 12x + ky = 6 (1)
Answers
Answered by
0
Answer:
The given system of equations: kx + 3y = 3 kx + 3y - 3 = 0 …
.(i) 12x + ky = 6 12x + ky - 6 = 0
….(ii) These equations are of the following form: a1x+b1y+c1 = 0, a2x+b2y+c2 = 0
where, a1 = k, b1= 3, c1 = -3 and a2 = 12, b2 = k, c2 = –6
In order that the given system has no solution, we must have:
Hence, the given system of equations has no solution when k is equal to -6.
Similar questions