Question

Find the values of '$k$' for which the system of equations $x-2y=3$, $3x+ky=1$ has a unique solution.

• A. $k\ne 6$
• B. $k\ne -6$
• C. $k\ne 5$
• D. None of these

Answer 1

The correct option is B $k\ne -6$

for unique solution

$\frac{a_1}{a_2}\ne \frac{b_1}{b_2}\Rightarrow \frac{1}{3}\ne \frac{-2}{k}$

$\Rightarrow k\ne -6$