himpunan penyelesaian sisten persamaan 2/x - 3/y =-5 1/x + 2/y =8 adalah (x1,y1) Nilai x1.x1

[tex] \frac{2}{x} - \frac{3}{y} = - 5 \\ \frac{1}{x} + \frac{2}{y} = 8 \\ kurangkan \\ \frac{1}{x} - \frac{5}{y} = - 13 \\ kurangkan \\ \frac{7}{y} = 21 \to \: y = \frac{7}{21} = \frac{1}{3} \\ \\ \frac{2}{x} - \frac{3}{y} = - 5 \\ \frac{2}{x} - \frac{3}{ \frac{1}{3} } = - 5 \\ \frac{2}{x} - 9 = - 5 \\ \frac{2}{x} = 4 \to \: x = \frac{2}{4} = \frac{1}{2} \\ \\ x_1 \times y_1 = \frac{1}{2} \times \frac{1}{3} = \frac{1}{6} [/tex]