Question

x+y upon xy =2 , x-y upon xy =6

Answer 1

Answer:

x=1/10

y=1/4

Step by step explained in image

Answer 2

$\underline{ \bold{ \red{SOLUTION \: \: \: }}}$➡

$\frac{x + y}{xy} = 2 \: \: - - - - - > (1)\\ \\ \frac{x - y}{xy} = 6 \: \: - - - - - > (2) \\ \\ (1) = > xy = \frac{x + y}{2} \: \: - - - - > (3) \\ \\ (2) = > xy = \frac{x - y}{6}\: \: - - - - - > (4) \\ \\ \underline{ \: \: From \: \: (3) \: \: and \: \: (4) \: \: } \\ \\ \frac{x + y}{2} = \frac{x - y}{6} \\ \\ = > x + y = \frac{x - y}{3} \\ \\ = > 3x + 3y = x - y \\ \\ = > 2x + 4y = 0 \\ \\ = > 2(x + 2y) = 0 \\ \\ = > x + 2y = 0 \\ \\ = > x = - 2y \: \: - - - - > (5) \\ \\ (1) = > \frac{x + y}{xy} = 2 \\ \\ = > \frac{( - 2y) + y}{( - 2y )\times y} = 2 \\ \\ = > \frac{ - y}{ - 2y {}^{2} } = 2 \\ \\ = > \frac{1}{2y} = 2 \\ \\ = > 4y = 1 \\ \\ = > y = \frac{1}{4} \\ \\ (5) = > x = - 2y \\ \\ = > x = - 2 \times ( \frac{1}{4} ) \\ \\ = > x = - \frac{1}{2}$

$\underline{ \bold{ \red{ANSWER\: \: }}}$ ➡ $\boxed{x = - \: \frac{1}{2} \: \: \: \: ,\: \: \: y = \frac{1}{4} }$

___________________________________

⭐$\bold{\red{.THANKS.}}$⭐