A. x = \(\frac{3}{2}\), y = \(\frac{3}{2}\) B. x = \(\frac{1}{2}\), y = \(\frac{3}{2}\) C. x = \(\frac{-1}{2}\), y = \(\frac{-3}{2}\) D. x = \(\frac{1}{2}\), y = \(\frac{3}{2}\)
Correct Answer: B
Explanation
\(\frac{2}{x} - {\frac{3}{y}}\) = 2.....(1) \(\frac{4}{x} + {\frac{3}{y}}\) = 10 ... (2) (1) + (2): \(\frac{6}{x}\) = 12 \(\to\) x = \(\frac{6}{12}\) x = \(\frac{1}{2}\) put x = \(\frac{1}{2}\) in equation (i) = 4 - \(\frac{3}{y}\) = 2 = 4 - 2 = \(\frac{3}{y}\) therefore y = \(\frac{3}{2}\)
