Question

Determine the value of k for which the given system of equations has a unique solution:
$x-ky=2,3x+2y=-5$

• A. The given system of equations will have unique solution for all real values of k other than
• B. The given system of equations will have unique solution for all real values of k other than
• C. The given system of equations will have unique solution for all real values of k other than
• D. The given system of equations will have unique solution for all real values of k other than

Answer 1

The correct option is A The given system of equations will have unique solution for all real values of k other than

Condition for the unique solution is

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

$x-ky=2,and3x+2y=-5$

$\Rightarrow \frac{1}{3}\ne \frac{-k}{2}$

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