Question

Determine the value of k for which the given system of equations $(2x-3y=1);(kx+5y=-7)$ has a unique solution.

• A. $k\ne \frac{-3}{5}$
• B. $k\ne \frac{-5}{3}$
• C. $k\ne \frac{-10}{3}$
• D. $k\ne \frac{-2}{3}$

Answer 1

The correct option is C $k\ne \frac{-10}{3}$


In order to get unique solution, $\frac{2}{k}\ne \frac{-3}{5}$ is mandatory.
By solving it further, we get
$k\ne \frac{-10}{3}$