What is the value of k for which the following system of equations has no solution: 2x –- 8y = 3 and kx + 4y = 10

What is the value of k for which the following system of equations has no solution: 2x –- 8y = 3 and kx + 4y = 10.

  1. 2
  2. -2
  3. -1
  4. 1

Answer

For inconsistent (equations that have no solution) equations:

k/2 = 4/-8

k = -1

The correct option is C.