Question

If x-y/x+y=9 and xy/x+y=-60 then what will be the value of (x+y)+(x-y)+xy=?​

Answer 1

Answer:

$\frac{x - y}{x + y} = 9 \\ x - y = 9(x + y)$

$x + y = \frac{x - y}{9}$

$\frac{xy}{x + y} = 60 \\ xy = 60(x + y)$

now solution

$(x+y)+(x-y)+xy \\ = \frac{x - y}{9} + 9(x + y) + 9(x + y) \\ = \frac{x - y}{9} + 18(x + y) \\ = \frac{x - y + 162(x + y)}{9 } \\ = \frac{x - y + 162x + 162y}{9 } \\ = \frac{161x + 161y }{9}$