Question

4. For all non-zero real numbers x and y such that x - y = xy. What is the value of (1/x)-(1/y)​

Answer 1

• The value is -1

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Simplify 1/x - 1/y

• 1/x - 1/y = Common denominator is xy
• y/(xy) - x/(xy) = Bring to common denominator
• (y - x)/(xy) = Combine numerators
• - (x - y)/(xy) = Both numerator and denominator are same
• - 1 Answer