Question

Find the values of k for whic the system

2x + ky = 1

3x - 5y = 7

will have (i) a unique solution, and (ii) no solution. Is there a value of k for which the system has infinitely many solutions?

Answer 1

$\left(i\right)k\ne \frac{-10}{3}\left(ii\right)k=\frac{-10}{3}$