1
2
3
4
Correct answer is D
\(\log_{3}(x - y) = 1 \implies x - y = 3^{1} = 3 .... (1)\)
\(\log_{3}(2x + y) = 2 \implies 2x + y = 3^{2} = 9 ..... (2)\)
From (1), y = x - 3
From (2), y = 9 - 2x
\(\implies 9 - 2x = x - 3\)
\(9 + 3 = x + 2x = 3x\)
\(x = 4\)