Question

The value of k for which the system of linear equations x + 2y = 3, 5x + ky + 7 = 0 is inconsistent is ______.

Options

• `- 14/3`

• `2/5`

• 5

• 10

Answer 1

The value of k for which the system of linear equations x + 2y = 3, 5x + ky + 7 = 0 is inconsistent is 10.

Explanation:

x + 2y – 3 = 0

And 5x + ky + 7 = 0

If system is inconsistent, then

`a_1/a_2 = b_1/b_2 ≠ c_1/c_2`

Taking first two orders, we have

`1/5 = 2/k`

⇒ k = 10