Find-the-number-of-non-zero-integer-solution-x-y-to-the-equation-15-x-2-y-3-xy-2-x-2-

Question Number 212999 by golsendro last updated on 28/Oct/24

Find the number of non zero integer

solution (x, y) to the equation

\frac{15}{x^{2} y} + \frac{3}{xy} - \frac{2}{x} = 2

Answered by A5T last updated on 28/Oct/24

\frac{3 - 2 y}{x y} = 2 - \frac{15}{x^{2} y} = \frac{2 x^{2} y - 15}{x^{2} y}

\Rightarrow 3 - 2 y = \frac{2 x^{2} y - 15}{x} = 2 x y - \frac{15}{x} \Rightarrow x ∣ 15

x = 3 \Rightarrow 3 - 2 y = 6 y - 5 \Rightarrow y = 1

C h e c k i n g \Rightarrow (x, y) = (3, 1)

Facebook Tweet Pin