Question

For what value oh k the following pair of equations has no solution 2x+3y = 5 6x+ky=15

Answer 1

No solution means

$\frac{a1}{a2} = \frac{b1}{b2} not \: equal \: to \: \frac{c1}{c2}$

$\frac{2}{6} = \frac{3}{k}$

$2k = 18 \\ k = \frac{18}{2} \\ k = 9$