Question

The system of linear equations

5x + ky = 5,

3x + 3y = 5;

will be consistent if

Options

• k ≠ – 3

• k = –5

• k = 5

• k ≠ 5

Answer 1

k ≠ 5

Explanation:

We have, 5x + ky – 5 = 0

And 3x + 3y – 5 = 0

For consistent system

`5/3 ≠ k/3`

`\implies` k ≠ 5