Question

x-y/xy=7 and x+y/xy=11 solve for x,y

Answer 1

These steps are you have to follow to solve this question

Answer 2

$\textbf{\huge{ANSWER:}}$

Given:

$\frac{x - y}{xy} = 7 \\ \\ \frac{x + y}{xy} = 11$

Adding both the equations, we get:

$\frac{x - y + x + y}{xy} = 11 + 7 \\ \\ = > \frac{2x}{xy} = 18 \\ \\ = > y = \frac{1}{9}$

Put the value of y in any of the given equations.

$\frac{x - y}{xy} = 7 \\ \\ = > x - y = 7xy \\ \\ = > x - \frac{1}{9} = \frac{7x}{9} \\ \\ = > \frac{9x - 1}{9} = \frac{7x}{9} \\ \\ cross \: multiply \\ \\ = > 81x - 9 = 63x \\ \\ = > 18x = 9 \\ \\ = > \frac{9}{18} = x \\ \\ = >x = \frac{1}{2}$