Correct option is (B) All real values except 10
Condition for unique solution of given system of equations is \(\frac{a_1}{a_2}\neq\frac{b_1}{b_2}.\)
\(\Rightarrow\) \(\frac15\neq\frac2k\) (By comparing given system of equations with standard form of equations)
\(\Rightarrow\) \(k\neq5\times2\)
\(\Rightarrow\) \(k\neq10\)
Hence, given system of equations has unique solution for all real values except 10.