Question

The value of k for which the pair of linear equations 5x + 2y − 7 = 0 and 2x + ky + 1 = 0 don't have a solution is ______.

Options

• 5

• `4/5`

• `5/4`

• `5/2`

Answer 1

The value of k for which the pair of linear equations 5x + 2y − 7 = 0 and 2x + ky + 1 = 0 don't have a solution is `bbunderline(4/5)`.

Explanation:

Given that,

Pair of linear equations as 5x + 2y − 7 = 0  and 2x + ky + 1 = 0 

For no solution,

→ `5/2 = 2/k ≠ (−7)/1`

→ `5/2 = 2/k`

→ k = `4/5`