A) there is only one solution
B) there exists infinitely many solution
C) there is no solution
D) None of the above
Correct Answer: A
Solution :
\[\left| \begin{matrix} 1 & 2 & 3 \\ 2 & 1 & 3 \\ 5 & 5 & 9 \\ \end{matrix} \right|=1(9-15)-2(18-15)+3(10-5)\] \[=-2\ne 0\] Hence, the system of given equations has a unique solution.
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