Question

solve for x and y : x+y/xy=2,x-y/=6​

Answer 1

Answer:

x = (7 ± √37)/2

y = ( - 5 ± √37)/2

Step-by-step explanation:

(x+y)/xy=2

=> x + y  = 2xy

x - y = 6

=> y = x - 6

=> x + x - 6 = 2x(x - 6)

=> 2x - 6 = 2x² - 12x

=> 2x² - 14x  + 6 = 0

=> x² - 7x + 3 = 0

x = (7 ± √7² - 4(3) )/2

=> x = (7 ± √37)/2

y = x - 6

=> y = (7 ± √37)/2 - 6

=> y = ( - 5 ± √37)/2