The two equations `a_1x+b_1y= k_1` and `a_2x+b_2y=k_2` will have unique solutions for x and y when--

The pair of equations a_1x+b_1y+c_1=0" and "a_2x+b_2y+c_2=0 has unique solution, then……..

The pair of linear equations a_1x+b_1y+c_1=0' and a_2x+b_2y+c_2=0' have a unique solution, if _____ .

What are the conditions such that equations a_1x +b_1y+c_1=0 and a_2x+b_2y+c_2=0 have (i) unique solution (ii) No solution (iii) Infinite solution.

What are the conditions such that equations a_1x +b_1y+c_1=0 and a_2x+b_2y+c_2=0 have (i) unique solution (ii) No solution (iii) Infinite solution.

a_1x+b_1y+c_1=0 and a_2x+b_2y+c_2=0 has no solution if _________.

The pair of equations a_1x+b_1y+c_1=0" and "a_2x+b_2y+c_2=0 are consistent, then……..

Prove that the equations kx + y + z = 1, x + ky + z = k and x + y + kz = k^(2) will have unique solution when k ne 1 and k ne -2 . Solve the equations in this case.

If the system of equations, a^(2) x - ay = 1 - a and bx + (3-2b) y = 3 + a possess a unique solution x = 1 , y = 1 , then