Question

The value of 'p' for which the pair of equations − 2x + 3y − 9 = 0 and 4x + py + 7 = 0 has a unique solution is ______.

पर्याय

• p ≠ 6

• p = 6

• p = −6

• p ≠ −6

Answer 1

The value of 'p' for which the pair of equations − 2x + 3y − 9 = 0 and 4x + py + 7 = 0 has a unique solution is p ≠ −6.

Explanation:

Given that − 2x + 3y − 9 = 0, 4x + py + 7 = 0

For unique solution:

`("a"_1)/("a"_2) ≠ ("b"_1)/("b"_2)`

`(-2)/4 ≠ 3/("p")`

− 2p ≠ 4 × 3

p ≠ −6