Question

Find the value (s) of k for which the pair of equations

`{(kx,+,2y,=,3),(3x,-,6y,=,10):}" has a unique solution"`

Answer 1

The given equation is:

kx + 2y = 3
3x + 6y = 10

For a unique solution,

`a_1/a_2 ≠ b_1/b_2`

where `a_1 = k, a_2 = 3, b_1= 2, b_2 = 6`

`k/3 ≠ 2/6`

⇒ k ≠ 1

For all values of k except 1, the given linear equations will have unique solution.