Multiple choice

Solve the following system of equations by elimination method. $\dfrac{3}{x}+\dfrac{5}{y}=\dfrac{20}{xy}, \dfrac{2}{x}+\dfrac{5}{y}=\dfrac{15}{xy}, x\neq 0, y\neq 0$

  1. $(1, 5)$
  2. $(2, 5)$
  3. $(1, 2)$

  4. None of these
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A Correct answer
Explanation

Subtracting the second equation from the first gives 1/x = 5/xy, which simplifies to y = 5. Substituting y = 5 into the second equation gives 2/x + 1 = 15/(5x), which simplifies to 2/x + 1 = 3/x, leading to x = 1.

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