Question

Find the value of $k$ for which the system of equations $5x-3y=0$, $2x+ky=0$ has a non zero solution.

• A. $k\ne -\frac{6}{5}$
• B. $k\ne \frac{7}{5}$
• C. $k\ne \frac{3}{5}$
• D. None of these

Answer 1

Answer: (A)

$k\ne -\frac{6}{5}$

for non-zero solution

$\frac{a_1}{a_2}\ne \frac{b_1}{b_2}$

$\Rightarrow \frac{5}{2}\ne \frac{-3}{k}$

$\Rightarrow k\ne \frac{-6}{5}$