Question

find the value of K for which the system of equation x+2y=5 and 3x+ky+15=0 has a unique solution?​

Answer 1

a1 = 1, b1 = 2, c1 = 5

a2 = 3, b2 = k, C2 = 15

For unique solution,

$\frac{a1}{a2}≠ \frac{b1}{b2}$

$\frac{1}{3}≠\frac{2}{k}$

$k = 6$