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\( x \) and \( y \) are Natural no's when \( x y-4=2 x+y \). Find pairs of \( (x, y) \). |
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Answer» \(xy - 4 = 2x + y\) ⇒ \(y = \frac{4+2x}{x - 1}\) \(= \frac{2(x + 2)}{x -1}\) \(=2\left(1 + \frac3{x - 1}\right)\) \( = 2 + \frac6{x -1}\) Hence, if x = 2, 3, 4 & 7 then y becomes natural numbers. Hence, (x, y) pairs are (2, 8), (3, 5), (4, 4), (7, 3). |
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