Question

The value of ‘k’ for which the system of equations kx + 2y = 5 and 3x + 4y = 1 have no solution, is ______.

Options

• k = `3/2`

• k ≠ `3/2`

• k ≠ `2/3`

• k = 15

Answer 1

The value of ‘k’ for which the system of equations kx + 2y = 5 and 3x + 4y = 1 have no solution, is `underlinebb(k = 3/2)`.

Explanation:

kx + 2y – 5 = 0

3x + 4y – 1 = 0

For No Solution

`k/3 = 2/4 ≠ (-5)/(-1)`

k = `6/4 = 3/2`